TY  - CONF
AU  - Davidovic, Milos
AU  - Kleut, Duška
AU  - Davidović, Milena
AU  - Stojanović, Danka
AU  - Jovašević-Stojanović, Milena
PY  - 2023
UR  - http://www.photonicsworkshop.ipb.ac.rs/16/index.php/time-table
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3131
AB  - Atmospheric aerosols in urban areas typically consist of particles of different
diameters, which can range in size from a few nanometers to a few micrometers and can have
a strong impact on human health [1,2]. This motivates the need to measure aerosol
concentration accurately, but it is often also necessary to combine results from several
instruments, with fundamentally different measurement principles. In this work, methods
based on the measurement of the electrical mobility of particles, for the range of diameters
from 10nm to 420nm, and the measurement of the equivalent optical diameter, for the range
of diameters from 300nm to 10um, were used. Combining the overlapping region in two size
distribution spectra can be used to infer equivalent optical properties of the ambient aerosol,
and examples of measured and combined spectra in several urban hot spots in Bay of Kotor
are analyzed in some detail. These examples will illustrate several aspects of urban aerosol
properties not readily available in a typical regulatory monitoring setting, such as distribution
of modes in number and mass concentration, as well as optical properties of measured aerosol.
As the main result, examples of combining particle size spectrums are presented. In the
process of combining the particle size spectra, it is possible to modify the distribution
obtained by optical measurements by searching for the optimal value of the refractive index
of the particles to obtain the best possible agreement with the size distribution obtained by
measuring the electrical mobility. An equivalent refractive index as well as the equivalent
shape factor of the ambient aerosol is obtained using Mie scattering theory as a theoretical
framework [3]. The measurement results from the mobile monitoring campaign in Bay of
Kotor in 2017 were used to elucidate the main principles of size spectrum combination, as
well as to showcase diversity of equivalent optical properties of urban aerosols.
Funding for this work has been provided by the EU H2020 Framework Programme for
research and innovation under grant agreement no 952433 (VIDIS); Ministry of Education,
Science and Technological Development of the Republic of Serbia under contract number
451-03-47/2023-01/ 200017 which is being realized in Vinca Institute of Nuclear Sciences.
C3  - 16th Photonics Workshop: Kopaonik, March 12-15
T1  - Combining size distribution spectrums of ambient aerosols using equivalent optical properties of nanosized particles selected examples from the Bay of Kotor
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3131
ER  - 

@conference{
author = "Davidovic, Milos and Kleut, Duška and Davidović, Milena and Stojanović, Danka and Jovašević-Stojanović, Milena",
year = "2023",
abstract = "Atmospheric aerosols in urban areas typically consist of particles of different
diameters, which can range in size from a few nanometers to a few micrometers and can have
a strong impact on human health [1,2]. This motivates the need to measure aerosol
concentration accurately, but it is often also necessary to combine results from several
instruments, with fundamentally different measurement principles. In this work, methods
based on the measurement of the electrical mobility of particles, for the range of diameters
from 10nm to 420nm, and the measurement of the equivalent optical diameter, for the range
of diameters from 300nm to 10um, were used. Combining the overlapping region in two size
distribution spectra can be used to infer equivalent optical properties of the ambient aerosol,
and examples of measured and combined spectra in several urban hot spots in Bay of Kotor
are analyzed in some detail. These examples will illustrate several aspects of urban aerosol
properties not readily available in a typical regulatory monitoring setting, such as distribution
of modes in number and mass concentration, as well as optical properties of measured aerosol.
As the main result, examples of combining particle size spectrums are presented. In the
process of combining the particle size spectra, it is possible to modify the distribution
obtained by optical measurements by searching for the optimal value of the refractive index
of the particles to obtain the best possible agreement with the size distribution obtained by
measuring the electrical mobility. An equivalent refractive index as well as the equivalent
shape factor of the ambient aerosol is obtained using Mie scattering theory as a theoretical
framework [3]. The measurement results from the mobile monitoring campaign in Bay of
Kotor in 2017 were used to elucidate the main principles of size spectrum combination, as
well as to showcase diversity of equivalent optical properties of urban aerosols.
Funding for this work has been provided by the EU H2020 Framework Programme for
research and innovation under grant agreement no 952433 (VIDIS); Ministry of Education,
Science and Technological Development of the Republic of Serbia under contract number
451-03-47/2023-01/ 200017 which is being realized in Vinca Institute of Nuclear Sciences.",
journal = "16th Photonics Workshop: Kopaonik, March 12-15",
title = "Combining size distribution spectrums of ambient aerosols using equivalent optical properties of nanosized particles selected examples from the Bay of Kotor",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3131"
}

Davidovic, M., Kleut, D., Davidović, M., Stojanović, D.,& Jovašević-Stojanović, M.. (2023). Combining size distribution spectrums of ambient aerosols using equivalent optical properties of nanosized particles selected examples from the Bay of Kotor. in 16th Photonics Workshop: Kopaonik, March 12-15.
https://hdl.handle.net/21.15107/rcub_grafar_3131

Davidovic M, Kleut D, Davidović M, Stojanović D, Jovašević-Stojanović M. Combining size distribution spectrums of ambient aerosols using equivalent optical properties of nanosized particles selected examples from the Bay of Kotor. in 16th Photonics Workshop: Kopaonik, March 12-15. 2023;.
https://hdl.handle.net/21.15107/rcub_grafar_3131 .

Davidovic, Milos, Kleut, Duška, Davidović, Milena, Stojanović, Danka, Jovašević-Stojanović, Milena, "Combining size distribution spectrums of ambient aerosols using equivalent optical properties of nanosized particles selected examples from the Bay of Kotor" in 16th Photonics Workshop: Kopaonik, March 12-15 (2023),
https://hdl.handle.net/21.15107/rcub_grafar_3131 .

TY  - CONF
AU  - Davidovic, Milos
AU  - Davidović, Milena
AU  - Dmitrašinović, Sonja
AU  - Srećković, Milesa
AU  - Jovašević-Stojanović, Milena
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3130
AB  - Atmosferski aerosoli u urbanim sredinama se
sastoje od čestica različitih dijametara, koje mogu imati veličinu
od par nanometara do par mikrometara. Stoga je za merenje
koncentracije aerosola često neophodno koristiti više
instrumenata, sa principijelno različitim metodama merenja. U
ovom radu su korišćene metode zasnovane na merenju električne
pokretljivosti čestica, za opseg dijametara od 10nm do 420nm, i
merenju ekvivalentnog optičkog dijametra, za opseg dijametara
od 300nm do 10um. Kao glavni rezultat, prikazani su primeri
kombinovanja spektara veličina čestica koji su dobijeni pomoću
ove dve komplementarne metode merenja. U procesu
kombinovanja spektara veličina čestica moguće je modifikovati
raspodelu dobijenu optičkim merenjima traženjem optimalne
vrednosti indeksa prelamanja čestica tako da se dobije što bolje
slaganje sa raspodelom dobijenom merenjem električne
pokretljivosti. Kao ulazni podaci su korišćeni rezultati merenja
iz kampanje mobilnog monitoringa u Novom Sadu 2022.
C3  - Zbornik radova, LXVI konferencija ETRAN
T1  - Primer kombinovanja raspodele atmosferskih aerosola po veličinama dobijenih metodom merenja električne pokretljivosti i optičkom metodom
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3130
ER  - 

@conference{
author = "Davidovic, Milos and Davidović, Milena and Dmitrašinović, Sonja and Srećković, Milesa and Jovašević-Stojanović, Milena",
year = "2022",
abstract = "Atmosferski aerosoli u urbanim sredinama se
sastoje od čestica različitih dijametara, koje mogu imati veličinu
od par nanometara do par mikrometara. Stoga je za merenje
koncentracije aerosola često neophodno koristiti više
instrumenata, sa principijelno različitim metodama merenja. U
ovom radu su korišćene metode zasnovane na merenju električne
pokretljivosti čestica, za opseg dijametara od 10nm do 420nm, i
merenju ekvivalentnog optičkog dijametra, za opseg dijametara
od 300nm do 10um. Kao glavni rezultat, prikazani su primeri
kombinovanja spektara veličina čestica koji su dobijeni pomoću
ove dve komplementarne metode merenja. U procesu
kombinovanja spektara veličina čestica moguće je modifikovati
raspodelu dobijenu optičkim merenjima traženjem optimalne
vrednosti indeksa prelamanja čestica tako da se dobije što bolje
slaganje sa raspodelom dobijenom merenjem električne
pokretljivosti. Kao ulazni podaci su korišćeni rezultati merenja
iz kampanje mobilnog monitoringa u Novom Sadu 2022.",
journal = "Zbornik radova, LXVI konferencija ETRAN",
title = "Primer kombinovanja raspodele atmosferskih aerosola po veličinama dobijenih metodom merenja električne pokretljivosti i optičkom metodom",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3130"
}

Davidovic, M., Davidović, M., Dmitrašinović, S., Srećković, M.,& Jovašević-Stojanović, M.. (2022). Primer kombinovanja raspodele atmosferskih aerosola po veličinama dobijenih metodom merenja električne pokretljivosti i optičkom metodom. in Zbornik radova, LXVI konferencija ETRAN.
https://hdl.handle.net/21.15107/rcub_grafar_3130

Davidovic M, Davidović M, Dmitrašinović S, Srećković M, Jovašević-Stojanović M. Primer kombinovanja raspodele atmosferskih aerosola po veličinama dobijenih metodom merenja električne pokretljivosti i optičkom metodom. in Zbornik radova, LXVI konferencija ETRAN. 2022;.
https://hdl.handle.net/21.15107/rcub_grafar_3130 .

Davidovic, Milos, Davidović, Milena, Dmitrašinović, Sonja, Srećković, Milesa, Jovašević-Stojanović, Milena, "Primer kombinovanja raspodele atmosferskih aerosola po veličinama dobijenih metodom merenja električne pokretljivosti i optičkom metodom" in Zbornik radova, LXVI konferencija ETRAN (2022),
https://hdl.handle.net/21.15107/rcub_grafar_3130 .

TY  - CONF
AU  - Srećković, Milesa
AU  - Zarubica, Veljko
AU  - Kovačević, Aleksander
AU  - Davidović, Milena
AU  - Polić, Suzana
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3129
AB  - Apstrakt—Ljudski osećaj za boje ima mnogo aspekata,
počevši od čovekovog poimanja sveta oko sebe, do medicinskih
pojmova koji uključuju i daltonizam, ali (u svakodnevici)
najpozitivniji, najhumaniji je čovekov osećaj za deo dana ili noći
(meseca ili godine), za uživanje u heritološkom blagu, koje su
nam ostavili preci, ali ne samo crno-belo. Istraživanja, kojima je
procenjivan ljudski vek, postojanje i razvoj humanih bića, kao i
nastajanje i evolucija flore i faune, sve ovo mora da bude
tretirano multidisciplinarno, bez obzira da li se polazi od stena,
stalaktita i stalagmita, morskih dubina, tragova u atmosferi ili
potrage za planetom koja je slična Zemlji. U radu se daje
nekoliko prilaza boji i kolorimetriji, sa aspekta raznih naučnih
disciplina. Prikazuje se uloga lasera u novim problematikama,
kvantitativne definicije boje i njenih pokazatelja. U području
merenja, daje se prilaz sa aspekta filtera i korektnog opisa stanja
i delovanja odabranih filtera sa savremenim izražavanjima
rezultata, kao i merne metode. Konstatacija boje i njena
deskripcija, ima veliku ulogu u svakodnevnom životu, kao i u
pojedinim tehničkim i mass media primenama, uključivši i
humanističke i tehničke nauke.
C3  - Zbornik radova, LXVI konferencija ETRAN
T1  - Deskripcija, heritologija i metrologija boje
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3129
ER  - 

@conference{
author = "Srećković, Milesa and Zarubica, Veljko and Kovačević, Aleksander and Davidović, Milena and Polić, Suzana",
year = "2022",
abstract = "Apstrakt—Ljudski osećaj za boje ima mnogo aspekata,
počevši od čovekovog poimanja sveta oko sebe, do medicinskih
pojmova koji uključuju i daltonizam, ali (u svakodnevici)
najpozitivniji, najhumaniji je čovekov osećaj za deo dana ili noći
(meseca ili godine), za uživanje u heritološkom blagu, koje su
nam ostavili preci, ali ne samo crno-belo. Istraživanja, kojima je
procenjivan ljudski vek, postojanje i razvoj humanih bića, kao i
nastajanje i evolucija flore i faune, sve ovo mora da bude
tretirano multidisciplinarno, bez obzira da li se polazi od stena,
stalaktita i stalagmita, morskih dubina, tragova u atmosferi ili
potrage za planetom koja je slična Zemlji. U radu se daje
nekoliko prilaza boji i kolorimetriji, sa aspekta raznih naučnih
disciplina. Prikazuje se uloga lasera u novim problematikama,
kvantitativne definicije boje i njenih pokazatelja. U području
merenja, daje se prilaz sa aspekta filtera i korektnog opisa stanja
i delovanja odabranih filtera sa savremenim izražavanjima
rezultata, kao i merne metode. Konstatacija boje i njena
deskripcija, ima veliku ulogu u svakodnevnom životu, kao i u
pojedinim tehničkim i mass media primenama, uključivši i
humanističke i tehničke nauke.",
journal = "Zbornik radova, LXVI konferencija ETRAN",
title = "Deskripcija, heritologija i metrologija boje",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3129"
}

Srećković, M., Zarubica, V., Kovačević, A., Davidović, M.,& Polić, S.. (2022). Deskripcija, heritologija i metrologija boje. in Zbornik radova, LXVI konferencija ETRAN.
https://hdl.handle.net/21.15107/rcub_grafar_3129

Srećković M, Zarubica V, Kovačević A, Davidović M, Polić S. Deskripcija, heritologija i metrologija boje. in Zbornik radova, LXVI konferencija ETRAN. 2022;.
https://hdl.handle.net/21.15107/rcub_grafar_3129 .

Srećković, Milesa, Zarubica, Veljko, Kovačević, Aleksander, Davidović, Milena, Polić, Suzana, "Deskripcija, heritologija i metrologija boje" in Zbornik radova, LXVI konferencija ETRAN (2022),
https://hdl.handle.net/21.15107/rcub_grafar_3129 .

TY  - JOUR
AU  - Andreev, Vladimir
AU  - Davidović, Milena
AU  - Davidović, Ljubica
AU  - Davidović, Miloš
AU  - Davidović, Dragomir
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2508
AB  - Abstract. We consider the system of N two-level atoms, of which N0 atoms are
unexcited and N1 are excited. This system of N two-level atoms, which forms a linear
quantum amplifier, interacts with a single-mode electromagnetic field. The problem of
amplification of the L-photon states using such an amplifier is studied. The evolution
of the electromagnetic field density matrix is described by the master equation for the
field under amplification. The dynamics of this process is such that it can be described
as the transformation of the scale of the phase space. The exact solution of the master
equation is expressed using the transformed Husimi function of the L-quantum state
of the harmonic oscillator. The properties of this function are studied and using it the
average photon number and its fluctuations in the amplified state are found.
PB  - Publishing House of the Romanian Academy
T2  - Romanian Reports in Physics
T1  - Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier
IS  - 1
SP  - 102
VL  - 73
UR  - https://hdl.handle.net/21.15107/rcub_vinar_9164
ER  - 

@article{
author = "Andreev, Vladimir and Davidović, Milena and Davidović, Ljubica and Davidović, Miloš and Davidović, Dragomir",
year = "2021",
abstract = "Abstract. We consider the system of N two-level atoms, of which N0 atoms are
unexcited and N1 are excited. This system of N two-level atoms, which forms a linear
quantum amplifier, interacts with a single-mode electromagnetic field. The problem of
amplification of the L-photon states using such an amplifier is studied. The evolution
of the electromagnetic field density matrix is described by the master equation for the
field under amplification. The dynamics of this process is such that it can be described
as the transformation of the scale of the phase space. The exact solution of the master
equation is expressed using the transformed Husimi function of the L-quantum state
of the harmonic oscillator. The properties of this function are studied and using it the
average photon number and its fluctuations in the amplified state are found.",
publisher = "Publishing House of the Romanian Academy",
journal = "Romanian Reports in Physics",
title = "Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier",
number = "1",
pages = "102",
volume = "73",
url = "https://hdl.handle.net/21.15107/rcub_vinar_9164"
}

Andreev, V., Davidović, M., Davidović, L., Davidović, M.,& Davidović, D.. (2021). Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier. in Romanian Reports in Physics
Publishing House of the Romanian Academy., 73(1), 102.
https://hdl.handle.net/21.15107/rcub_vinar_9164

Andreev V, Davidović M, Davidović L, Davidović M, Davidović D. Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier. in Romanian Reports in Physics. 2021;73(1):102.
https://hdl.handle.net/21.15107/rcub_vinar_9164 .

Andreev, Vladimir, Davidović, Milena, Davidović, Ljubica, Davidović, Miloš, Davidović, Dragomir, "Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier" in Romanian Reports in Physics, 73, no. 1 (2021):102,
https://hdl.handle.net/21.15107/rcub_vinar_9164 .

TY  - JOUR
AU  - Davidović, Milena
AU  - Tatjana, Marković-Topalović
AU  - Sliško, Josip
AU  - Bozic, Mirjana
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2213
AB  - In the  same chapter of  his  book Opera geometrica, Torricelli published1 two discoveries:  1) initial velocity of a jet from a container increases with the square root of the depth of the hole¸ 2) he draw the pattern of  jets from three openings at the wall of a container filled with water to constant level H and determined the height of the hole  with maximal range. In studying the pattern Torricelli used the mentioned law of initial velocities and Galileo’s law of free fall and projectile motion. The first Torricelli’s discovery is now well known in physics education under the name Torricelli’s law. But the pattern of jets from a container entered into physics literature along two ways, which we propose to name: “da Vinci’s way” and “Torricelli’s way”.  Along “da Vinci’s way” educators and textbook authors (Ref. 2 and textbooks and articles cited by Biser3 and Atkin4) present incorrect drawings of jets in order to incorrectly “demonstrate”the correct Torricelli’s law. Along “Torricelli’s way” educators point out3-11 that the shape and range of a jet depend on the initial velocity as well as on the time of flight of a jet.  Using algebra and calculus (instead of geometry, proportions and narrative used by Torricelli and Galileo) the shape of trajectories, their envelope, range and meeting of two jets at an arbitrary datum level, are determined by quadratic function and quadratic equation.   Their detailed mathematical analysis is presented in this paper. 
In describing how the use of water and air through time has developed our scientific understanding, and how to bring fluid mechanics to the general public, E. Guyon and M. Guyon12 observed: “Water fountains and jets are still being built and are favorite public attractions but, alas, are seldom connected to their scientific meaning, unlike the Torricelli fountain shown in Fig. 1.”
PB  - American Association of Physics Teachers
T2  - The Physics Teacher
T1  - Visualizing properties of a quadratic function using Torricelli’S fountain
IS  - April
VL  - 58
DO  - 10.1119/1.5145475
ER  - 

@article{
author = "Davidović, Milena and Tatjana, Marković-Topalović and Sliško, Josip and Bozic, Mirjana",
year = "2020",
abstract = "In the  same chapter of  his  book Opera geometrica, Torricelli published1 two discoveries:  1) initial velocity of a jet from a container increases with the square root of the depth of the hole¸ 2) he draw the pattern of  jets from three openings at the wall of a container filled with water to constant level H and determined the height of the hole  with maximal range. In studying the pattern Torricelli used the mentioned law of initial velocities and Galileo’s law of free fall and projectile motion. The first Torricelli’s discovery is now well known in physics education under the name Torricelli’s law. But the pattern of jets from a container entered into physics literature along two ways, which we propose to name: “da Vinci’s way” and “Torricelli’s way”.  Along “da Vinci’s way” educators and textbook authors (Ref. 2 and textbooks and articles cited by Biser3 and Atkin4) present incorrect drawings of jets in order to incorrectly “demonstrate”the correct Torricelli’s law. Along “Torricelli’s way” educators point out3-11 that the shape and range of a jet depend on the initial velocity as well as on the time of flight of a jet.  Using algebra and calculus (instead of geometry, proportions and narrative used by Torricelli and Galileo) the shape of trajectories, their envelope, range and meeting of two jets at an arbitrary datum level, are determined by quadratic function and quadratic equation.   Their detailed mathematical analysis is presented in this paper. 
In describing how the use of water and air through time has developed our scientific understanding, and how to bring fluid mechanics to the general public, E. Guyon and M. Guyon12 observed: “Water fountains and jets are still being built and are favorite public attractions but, alas, are seldom connected to their scientific meaning, unlike the Torricelli fountain shown in Fig. 1.”",
publisher = "American Association of Physics Teachers",
journal = "The Physics Teacher",
title = "Visualizing properties of a quadratic function using Torricelli’S fountain",
number = "April",
volume = "58",
doi = "10.1119/1.5145475"
}

Davidović, M., Tatjana, M., Sliško, J.,& Bozic, M.. (2020). Visualizing properties of a quadratic function using Torricelli’S fountain. in The Physics Teacher
American Association of Physics Teachers., 58(April).
https://doi.org/10.1119/1.5145475

Davidović M, Tatjana M, Sliško J, Bozic M. Visualizing properties of a quadratic function using Torricelli’S fountain. in The Physics Teacher. 2020;58(April).
doi:10.1119/1.5145475 .

Davidović, Milena, Tatjana, Marković-Topalović, Sliško, Josip, Bozic, Mirjana, "Visualizing properties of a quadratic function using Torricelli’S fountain" in The Physics Teacher, 58, no. April (2020),
https://doi.org/10.1119/1.5145475 . .

TY  - CONF
AU  - Davidović, Milena
AU  - Davidović, Miloš
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3128
C3  - Zbornik apstrakata sa druge nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama
T1  - Uticaj kvaliteta vazduha na očuvanje kulturnog nasleđa
SP  - 83
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3128
ER  - 

@conference{
author = "Davidović, Milena and Davidović, Miloš",
year = "2020",
journal = "Zbornik apstrakata sa druge nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama",
title = "Uticaj kvaliteta vazduha na očuvanje kulturnog nasleđa",
pages = "83",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3128"
}

Davidović, M.,& Davidović, M.. (2020). Uticaj kvaliteta vazduha na očuvanje kulturnog nasleđa. in Zbornik apstrakata sa druge nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama, 83.
https://hdl.handle.net/21.15107/rcub_grafar_3128

Davidović M, Davidović M. Uticaj kvaliteta vazduha na očuvanje kulturnog nasleđa. in Zbornik apstrakata sa druge nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama. 2020;:83.
https://hdl.handle.net/21.15107/rcub_grafar_3128 .

Davidović, Milena, Davidović, Miloš, "Uticaj kvaliteta vazduha na očuvanje kulturnog nasleđa" in Zbornik apstrakata sa druge nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama (2020):83,
https://hdl.handle.net/21.15107/rcub_grafar_3128 .

TY  - JOUR
AU  - Davidovic, Milos
AU  - Davidović, Milena
AU  - Jovanovic, Rastko
AU  - Kolarz, Predrag
AU  - Jovasevic-Stojanovic, Milena
AU  - Ristovski, Zoran
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2211
AB  - In this work we explore the relationship between particulate matter (PM) and small ion (SI) concentration in a typical indoor elementary school environment. A range of important air quality parameters (radon, PM, SI, temperature, humidity) were measured in two elementary schools located in urban background and suburban area in Belgrade city, Serbia. We focus on an interplay between concentrations of radon, small ions (SI) and particulate matter (PM) and for this purpose, we utilize two approaches. The first approach is based on a balance equation which is used to derive approximate relation between concentration of small ions and particulate matter. The form of the obtained relation suggests physics based linear regression modelling. The second approach is more data driven and utilizes machine learning techniques, and in this approach, we develop a more complex statistical model. This paper attempts to put together these two methods into a practical statistical modelling approach that would be more useful than either approach alone. The artificial neural network model enabled prediction of small ion concentration based on radon and particulate matter measurements. Models achieved median absolute error of about 40 ions/cm3 and explained variance of about 0.7. This could potentially enable more simple measurement campaigns, where a smaller number of parameters would be measured, but still allowing for similar insights.
PB  - MDPI
T2  - APPLIED SCIENCES-BASEL
T1  - Modeling Indoor Particulate Matter and Small Ion Concentration Relationship-A Comparison of a Balance Equation Approach and Data Driven Approach
IS  - 17
VL  - 10
DO  - 10.3390/app10175939
ER  - 

@article{
author = "Davidovic, Milos and Davidović, Milena and Jovanovic, Rastko and Kolarz, Predrag and Jovasevic-Stojanovic, Milena and Ristovski, Zoran",
year = "2020",
abstract = "In this work we explore the relationship between particulate matter (PM) and small ion (SI) concentration in a typical indoor elementary school environment. A range of important air quality parameters (radon, PM, SI, temperature, humidity) were measured in two elementary schools located in urban background and suburban area in Belgrade city, Serbia. We focus on an interplay between concentrations of radon, small ions (SI) and particulate matter (PM) and for this purpose, we utilize two approaches. The first approach is based on a balance equation which is used to derive approximate relation between concentration of small ions and particulate matter. The form of the obtained relation suggests physics based linear regression modelling. The second approach is more data driven and utilizes machine learning techniques, and in this approach, we develop a more complex statistical model. This paper attempts to put together these two methods into a practical statistical modelling approach that would be more useful than either approach alone. The artificial neural network model enabled prediction of small ion concentration based on radon and particulate matter measurements. Models achieved median absolute error of about 40 ions/cm3 and explained variance of about 0.7. This could potentially enable more simple measurement campaigns, where a smaller number of parameters would be measured, but still allowing for similar insights.",
publisher = "MDPI",
journal = "APPLIED SCIENCES-BASEL",
title = "Modeling Indoor Particulate Matter and Small Ion Concentration Relationship-A Comparison of a Balance Equation Approach and Data Driven Approach",
number = "17",
volume = "10",
doi = "10.3390/app10175939"
}

Davidovic, M., Davidović, M., Jovanovic, R., Kolarz, P., Jovasevic-Stojanovic, M.,& Ristovski, Z.. (2020). Modeling Indoor Particulate Matter and Small Ion Concentration Relationship-A Comparison of a Balance Equation Approach and Data Driven Approach. in APPLIED SCIENCES-BASEL
MDPI., 10(17).
https://doi.org/10.3390/app10175939

Davidovic M, Davidović M, Jovanovic R, Kolarz P, Jovasevic-Stojanovic M, Ristovski Z. Modeling Indoor Particulate Matter and Small Ion Concentration Relationship-A Comparison of a Balance Equation Approach and Data Driven Approach. in APPLIED SCIENCES-BASEL. 2020;10(17).
doi:10.3390/app10175939 .

Davidovic, Milos, Davidović, Milena, Jovanovic, Rastko, Kolarz, Predrag, Jovasevic-Stojanovic, Milena, Ristovski, Zoran, "Modeling Indoor Particulate Matter and Small Ion Concentration Relationship-A Comparison of a Balance Equation Approach and Data Driven Approach" in APPLIED SCIENCES-BASEL, 10, no. 17 (2020),
https://doi.org/10.3390/app10175939 . .

TY  - CONF
AU  - Stojanović, Maja
AU  - Pavkov-Hrvojević, Milica
AU  - Božić, Mirjana
AU  - Knežević, Dragica
AU  - Davidović, Milena
AU  - Trklja, Nora
AU  - Zekić, Andrijana
AU  - Marković-Topalović, Tatjana
AU  - Jovanović, Tatjana
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3135
AB  - In Serbia, one of the former republics of Socialist Federal Republic of Yugoslavia, men and women have equal
access to higher education and professional employment. However, in practice, this equality is not always realized. In
this paper we describe the status of women in physics in Serbia, focusing on student gender ratios and on positions held.
The financial contributions of the Serbian government to the scientific sector are not sufficient. Many young physicists
enter the information technology sector, where they can earn higher salaries. In addition, the lack of career opportunities
motivates scientists to go abroad, so each year, more and more young people leave Serbia. Today, many young Serbian
physicists plan their departure during their studies and leave the country immediately after graduation. We present statis-
tical data for the last several years, reviewing the percentage of women who are pursuing physics as a subject of study or
a profession. We report gender ratios at various career stages. Teaching at the primary and high-school level is the main
professional activity for female physicists in Serbia. Even though a large percentage (about 50%) of Serbian physicists
are female, few women hold positions in which decisions about scientific and educational policy are made. When women
achieve leadership positions, their educational attainments often outstrip those required for the positions. Only six women
have a high-level management position.
PB  - AIP Publishing
C3  - AIP Conference Proceedings WOMEN IN PHYSICS
T1  - Gender Imbalance in the Number of PhD Physicists and in Key Decision-Making Positions in the Republic of Serbia
DO  - 10.1063/1.5110107
ER  - 

@conference{
author = "Stojanović, Maja and Pavkov-Hrvojević, Milica and Božić, Mirjana and Knežević, Dragica and Davidović, Milena and Trklja, Nora and Zekić, Andrijana and Marković-Topalović, Tatjana and Jovanović, Tatjana",
year = "2019",
abstract = "In Serbia, one of the former republics of Socialist Federal Republic of Yugoslavia, men and women have equal
access to higher education and professional employment. However, in practice, this equality is not always realized. In
this paper we describe the status of women in physics in Serbia, focusing on student gender ratios and on positions held.
The financial contributions of the Serbian government to the scientific sector are not sufficient. Many young physicists
enter the information technology sector, where they can earn higher salaries. In addition, the lack of career opportunities
motivates scientists to go abroad, so each year, more and more young people leave Serbia. Today, many young Serbian
physicists plan their departure during their studies and leave the country immediately after graduation. We present statis-
tical data for the last several years, reviewing the percentage of women who are pursuing physics as a subject of study or
a profession. We report gender ratios at various career stages. Teaching at the primary and high-school level is the main
professional activity for female physicists in Serbia. Even though a large percentage (about 50%) of Serbian physicists
are female, few women hold positions in which decisions about scientific and educational policy are made. When women
achieve leadership positions, their educational attainments often outstrip those required for the positions. Only six women
have a high-level management position.",
publisher = "AIP Publishing",
journal = "AIP Conference Proceedings WOMEN IN PHYSICS",
title = "Gender Imbalance in the Number of PhD Physicists and in Key Decision-Making Positions in the Republic of Serbia",
doi = "10.1063/1.5110107"
}

Stojanović, M., Pavkov-Hrvojević, M., Božić, M., Knežević, D., Davidović, M., Trklja, N., Zekić, A., Marković-Topalović, T.,& Jovanović, T.. (2019). Gender Imbalance in the Number of PhD Physicists and in Key Decision-Making Positions in the Republic of Serbia. in AIP Conference Proceedings WOMEN IN PHYSICS
AIP Publishing..
https://doi.org/10.1063/1.5110107

Stojanović M, Pavkov-Hrvojević M, Božić M, Knežević D, Davidović M, Trklja N, Zekić A, Marković-Topalović T, Jovanović T. Gender Imbalance in the Number of PhD Physicists and in Key Decision-Making Positions in the Republic of Serbia. in AIP Conference Proceedings WOMEN IN PHYSICS. 2019;.
doi:10.1063/1.5110107 .

Stojanović, Maja, Pavkov-Hrvojević, Milica, Božić, Mirjana, Knežević, Dragica, Davidović, Milena, Trklja, Nora, Zekić, Andrijana, Marković-Topalović, Tatjana, Jovanović, Tatjana, "Gender Imbalance in the Number of PhD Physicists and in Key Decision-Making Positions in the Republic of Serbia" in AIP Conference Proceedings WOMEN IN PHYSICS (2019),
https://doi.org/10.1063/1.5110107 . .

TY  - JOUR
AU  - Andreev, Vladimir
AU  - Davidović, Milena
AU  - Davidovic, Ljubica
AU  - Davidovic, Milos
AU  - Davidovic, Dragomir
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3125
AB  - We consider a linear quantum amplifier consisting of NA two-level atoms and study the problem of
amplification of N-photon states. The N-photon states are associated with N-quantum states of the
harmonic oscillator. We show that the process of interaction of the electromagnetic field with atoms
can be associated with some transformation of the phase space and functions defined on this phase space. 
We consider the Husimi functions QN (q, p) of N-quantum states of the harmonic oscillator,
which are defined on the phase space, investigate transformation of these functions, and find an explicit form of the density matrix of the amplified N-photon state.
PB  - Springer Science
T2  - Journal of Russian Laser Research
T1  - Linear light amplifier and amplification of N-photon states
IS  - 4
VL  - 40
DO  - 10.1007/s10946-019-09807-2
ER  - 

@article{
author = "Andreev, Vladimir and Davidović, Milena and Davidovic, Ljubica and Davidovic, Milos and Davidovic, Dragomir",
year = "2019",
abstract = "We consider a linear quantum amplifier consisting of NA two-level atoms and study the problem of
amplification of N-photon states. The N-photon states are associated with N-quantum states of the
harmonic oscillator. We show that the process of interaction of the electromagnetic field with atoms
can be associated with some transformation of the phase space and functions defined on this phase space. 
We consider the Husimi functions QN (q, p) of N-quantum states of the harmonic oscillator,
which are defined on the phase space, investigate transformation of these functions, and find an explicit form of the density matrix of the amplified N-photon state.",
publisher = "Springer Science",
journal = "Journal of Russian Laser Research",
title = "Linear light amplifier and amplification of N-photon states",
number = "4",
volume = "40",
doi = "10.1007/s10946-019-09807-2"
}

Andreev, V., Davidović, M., Davidovic, L., Davidovic, M.,& Davidovic, D.. (2019). Linear light amplifier and amplification of N-photon states. in Journal of Russian Laser Research
Springer Science., 40(4).
https://doi.org/10.1007/s10946-019-09807-2

Andreev V, Davidović M, Davidovic L, Davidovic M, Davidovic D. Linear light amplifier and amplification of N-photon states. in Journal of Russian Laser Research. 2019;40(4).
doi:10.1007/s10946-019-09807-2 .

Andreev, Vladimir, Davidović, Milena, Davidovic, Ljubica, Davidovic, Milos, Davidovic, Dragomir, "Linear light amplifier and amplification of N-photon states" in Journal of Russian Laser Research, 40, no. 4 (2019),
https://doi.org/10.1007/s10946-019-09807-2 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Božić, Mirjana
PY  - 2019
UR  - https://aapt.scitation.org/doi/10.1119/1.5092479
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1754
AB  - Recently, Panuski and Mungan presented the results of their study of light diffraction from a variable-width single slit by observing and measuring the diffraction pattern on an observation screen placed at a fixed distance. In this way, the authors were able to demonstrate to students the important near-field effects for single-slit diffraction, which most often have been neglected in introductory courses. In this paper, we show that there exists very good agreement between observed data and theoretical calculations by plotting intensity from single slits using a method with Fresnel-Kirchhoff integrals (Fig. 1). In addition to these comparisons, and with the evaluation of the Fresnel numbers, we argue that Panuski and Mungan demonstrated not only the near-field Fresnel, but also the far-field Fraunhofer regimes as well as the transition between the two. Furthermore, with a greater increase in the slit width, the transition to the geometric regime can be demonstrated (Fig. 2).
PB  - American Association of Physics Teachers - AAPT.org
T2  - The Physics Teacher
T1  - Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction
SP  - 176
VL  - 57
DO  - 10.1119/1.5092479
ER  - 

@article{
author = "Davidović, Milena and Božić, Mirjana",
year = "2019",
abstract = "Recently, Panuski and Mungan presented the results of their study of light diffraction from a variable-width single slit by observing and measuring the diffraction pattern on an observation screen placed at a fixed distance. In this way, the authors were able to demonstrate to students the important near-field effects for single-slit diffraction, which most often have been neglected in introductory courses. In this paper, we show that there exists very good agreement between observed data and theoretical calculations by plotting intensity from single slits using a method with Fresnel-Kirchhoff integrals (Fig. 1). In addition to these comparisons, and with the evaluation of the Fresnel numbers, we argue that Panuski and Mungan demonstrated not only the near-field Fresnel, but also the far-field Fraunhofer regimes as well as the transition between the two. Furthermore, with a greater increase in the slit width, the transition to the geometric regime can be demonstrated (Fig. 2).",
publisher = "American Association of Physics Teachers - AAPT.org",
journal = "The Physics Teacher",
title = "Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction",
pages = "176",
volume = "57",
doi = "10.1119/1.5092479"
}

Davidović, M.,& Božić, M.. (2019). Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction. in The Physics Teacher
American Association of Physics Teachers - AAPT.org., 57, 176.
https://doi.org/10.1119/1.5092479

Davidović M, Božić M. Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction. in The Physics Teacher. 2019;57:176.
doi:10.1119/1.5092479 .

Davidović, Milena, Božić, Mirjana, "Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction" in The Physics Teacher, 57 (2019):176,
https://doi.org/10.1119/1.5092479 . .

TY  - CONF
AU  - Bulat, Sanja
AU  - Davidović, Milena
AU  - Joksimović, Milenija
AU  - Marković-Topalović, Tatjana
AU  - Popović-Božić, Mirjana
AU  - Stojičić, Biljana
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3137
PB  - Društvo fizičara Srbije
C3  - Nastava fizike
T1  - Iz časopisa i udžbenika u školski prostor
IS  - 8
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3137
ER  - 

@conference{
author = "Bulat, Sanja and Davidović, Milena and Joksimović, Milenija and Marković-Topalović, Tatjana and Popović-Božić, Mirjana and Stojičić, Biljana",
year = "2019",
publisher = "Društvo fizičara Srbije",
journal = "Nastava fizike",
title = "Iz časopisa i udžbenika u školski prostor",
number = "8",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3137"
}

Bulat, S., Davidović, M., Joksimović, M., Marković-Topalović, T., Popović-Božić, M.,& Stojičić, B.. (2019). Iz časopisa i udžbenika u školski prostor. in Nastava fizike
Društvo fizičara Srbije.(8).
https://hdl.handle.net/21.15107/rcub_grafar_3137

Bulat S, Davidović M, Joksimović M, Marković-Topalović T, Popović-Božić M, Stojičić B. Iz časopisa i udžbenika u školski prostor. in Nastava fizike. 2019;(8).
https://hdl.handle.net/21.15107/rcub_grafar_3137 .

Bulat, Sanja, Davidović, Milena, Joksimović, Milenija, Marković-Topalović, Tatjana, Popović-Božić, Mirjana, Stojičić, Biljana, "Iz časopisa i udžbenika u školski prostor" in Nastava fizike, no. 8 (2019),
https://hdl.handle.net/21.15107/rcub_grafar_3137 .

TY  - CONF
AU  - Bulat, Sanja
AU  - Davidović, Milena
AU  - Ivančević, Ljiljana
AU  - Joksimović, Milenija
AU  - Nikolić, Slađana
AU  - Popović-Božić, Mirjana
AU  - Stojičić, Biljana
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3136
PB  - Društvo fizičara Srbije
C3  - Nastava fizike
T1  - Kolegijalno podučavanje i istraživačko studiranje Alberta i Mileve Ajnštajn
IS  - 9
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3136
ER  - 

@conference{
author = "Bulat, Sanja and Davidović, Milena and Ivančević, Ljiljana and Joksimović, Milenija and Nikolić, Slađana and Popović-Božić, Mirjana and Stojičić, Biljana",
year = "2019",
publisher = "Društvo fizičara Srbije",
journal = "Nastava fizike",
title = "Kolegijalno podučavanje i istraživačko studiranje Alberta i Mileve Ajnštajn",
number = "9",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3136"
}

Bulat, S., Davidović, M., Ivančević, L., Joksimović, M., Nikolić, S., Popović-Božić, M.,& Stojičić, B.. (2019). Kolegijalno podučavanje i istraživačko studiranje Alberta i Mileve Ajnštajn. in Nastava fizike
Društvo fizičara Srbije.(9).
https://hdl.handle.net/21.15107/rcub_grafar_3136

Bulat S, Davidović M, Ivančević L, Joksimović M, Nikolić S, Popović-Božić M, Stojičić B. Kolegijalno podučavanje i istraživačko studiranje Alberta i Mileve Ajnštajn. in Nastava fizike. 2019;(9).
https://hdl.handle.net/21.15107/rcub_grafar_3136 .

Bulat, Sanja, Davidović, Milena, Ivančević, Ljiljana, Joksimović, Milenija, Nikolić, Slađana, Popović-Božić, Mirjana, Stojičić, Biljana, "Kolegijalno podučavanje i istraživačko studiranje Alberta i Mileve Ajnštajn" in Nastava fizike, no. 9 (2019),
https://hdl.handle.net/21.15107/rcub_grafar_3136 .

TY  - CONF
AU  - Davidovic, Milos
AU  - Davidović, Milena
AU  - Jovašević-Stojanović, Milena
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3132
PB  - Institut Vinca
C3  - Proceedings from the 6th WeBIOPATR 2017 Workshop and Conference 6 - 8.9. 2017, Belgrade, Serbia
T1  - Efficient tools for the creation and validation of LUR based maps
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3132
ER  - 

@conference{
author = "Davidovic, Milos and Davidović, Milena and Jovašević-Stojanović, Milena",
year = "2019",
publisher = "Institut Vinca",
journal = "Proceedings from the 6th WeBIOPATR 2017 Workshop and Conference 6 - 8.9. 2017, Belgrade, Serbia",
title = "Efficient tools for the creation and validation of LUR based maps",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3132"
}

Davidovic, M., Davidović, M.,& Jovašević-Stojanović, M.. (2019). Efficient tools for the creation and validation of LUR based maps. in Proceedings from the 6th WeBIOPATR 2017 Workshop and Conference 6 - 8.9. 2017, Belgrade, Serbia
Institut Vinca..
https://hdl.handle.net/21.15107/rcub_grafar_3132

Davidovic M, Davidović M, Jovašević-Stojanović M. Efficient tools for the creation and validation of LUR based maps. in Proceedings from the 6th WeBIOPATR 2017 Workshop and Conference 6 - 8.9. 2017, Belgrade, Serbia. 2019;.
https://hdl.handle.net/21.15107/rcub_grafar_3132 .

Davidovic, Milos, Davidović, Milena, Jovašević-Stojanović, Milena, "Efficient tools for the creation and validation of LUR based maps" in Proceedings from the 6th WeBIOPATR 2017 Workshop and Conference 6 - 8.9. 2017, Belgrade, Serbia (2019),
https://hdl.handle.net/21.15107/rcub_grafar_3132 .

TY  - CONF
AU  - Davidović, Milena
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3127
C3  - Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama
T1  - Kvaziraspodele od interesa u obradi signala
SP  - 33
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3127
ER  - 

@conference{
author = "Davidović, Milena",
year = "2019",
journal = "Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama",
title = "Kvaziraspodele od interesa u obradi signala",
pages = "33",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3127"
}

Davidović, M.. (2019). Kvaziraspodele od interesa u obradi signala. in Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama, 33.
https://hdl.handle.net/21.15107/rcub_grafar_3127

Davidović M. Kvaziraspodele od interesa u obradi signala. in Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama. 2019;:33.
https://hdl.handle.net/21.15107/rcub_grafar_3127 .

Davidović, Milena, "Kvaziraspodele od interesa u obradi signala" in Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama (2019):33,
https://hdl.handle.net/21.15107/rcub_grafar_3127 .

TY  - CONF
AU  - Srećković, Milesa
AU  - Ostojić, Stanko
AU  - Davidović, Milena
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3126
C3  - Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama
T1  - Funkcije korelacije, metode momenata i kumulanata, definicije i primene u savremenim statističkim opservacijama
SP  - 67
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3126
ER  - 

@conference{
author = "Srećković, Milesa and Ostojić, Stanko and Davidović, Milena",
year = "2019",
journal = "Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama",
title = "Funkcije korelacije, metode momenata i kumulanata, definicije i primene u savremenim statističkim opservacijama",
pages = "67",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3126"
}

Srećković, M., Ostojić, S.,& Davidović, M.. (2019). Funkcije korelacije, metode momenata i kumulanata, definicije i primene u savremenim statističkim opservacijama. in Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama, 67.
https://hdl.handle.net/21.15107/rcub_grafar_3126

Srećković M, Ostojić S, Davidović M. Funkcije korelacije, metode momenata i kumulanata, definicije i primene u savremenim statističkim opservacijama. in Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama. 2019;:67.
https://hdl.handle.net/21.15107/rcub_grafar_3126 .

Srećković, Milesa, Ostojić, Stanko, Davidović, Milena, "Funkcije korelacije, metode momenata i kumulanata, definicije i primene u savremenim statističkim opservacijama" in Zbornik apstrakata sa Prve nacionalne konferencije Metodološka istraživanja u heritologiji i novim tehnologijama (2019):67,
https://hdl.handle.net/21.15107/rcub_grafar_3126 .

TY  - JOUR
AU  - Davidović, Milena
AU  - Božić, Mirjana
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1001
PB  - American Institute of Physics Inc.
T2  - Physics Teacher
T1  - Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction
EP  - 178
IS  - 3
SP  - 176
VL  - 57
DO  - 10.1119/1.5092479
ER  - 

@article{
author = "Davidović, Milena and Božić, Mirjana",
year = "2019",
publisher = "American Institute of Physics Inc.",
journal = "Physics Teacher",
title = "Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction",
pages = "178-176",
number = "3",
volume = "57",
doi = "10.1119/1.5092479"
}

Davidović, M.,& Božić, M.. (2019). Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction. in Physics Teacher
American Institute of Physics Inc.., 57(3), 176-178.
https://doi.org/10.1119/1.5092479

Davidović M, Božić M. Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction. in Physics Teacher. 2019;57(3):176-178.
doi:10.1119/1.5092479 .

Davidović, Milena, Božić, Mirjana, "Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction" in Physics Teacher, 57, no. 3 (2019):176-178,
https://doi.org/10.1119/1.5092479 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Davidović, Milos D.
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Vasiljević, Darko
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/983
AB  - In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel-Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths.
PB  - Springer New York LLC
T2  - Journal of Russian Laser Research
T1  - Trajectory-based interpretation of laser light diffraction by a sharp edge
EP  - 447
IS  - 5
SP  - 438
VL  - 39
DO  - 10.1007/s10946-018-9738-9
ER  - 

@article{
author = "Davidović, Milena and Davidović, Milos D. and Sanz, Angel S. and Božić, Mirjana and Vasiljević, Darko",
year = "2018",
abstract = "In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel-Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths.",
publisher = "Springer New York LLC",
journal = "Journal of Russian Laser Research",
title = "Trajectory-based interpretation of laser light diffraction by a sharp edge",
pages = "447-438",
number = "5",
volume = "39",
doi = "10.1007/s10946-018-9738-9"
}

Davidović, M., Davidović, M. D., Sanz, A. S., Božić, M.,& Vasiljević, D.. (2018). Trajectory-based interpretation of laser light diffraction by a sharp edge. in Journal of Russian Laser Research
Springer New York LLC., 39(5), 438-447.
https://doi.org/10.1007/s10946-018-9738-9

Davidović M, Davidović MD, Sanz AS, Božić M, Vasiljević D. Trajectory-based interpretation of laser light diffraction by a sharp edge. in Journal of Russian Laser Research. 2018;39(5):438-447.
doi:10.1007/s10946-018-9738-9 .

Davidović, Milena, Davidović, Milos D., Sanz, Angel S., Božić, Mirjana, Vasiljević, Darko, "Trajectory-based interpretation of laser light diffraction by a sharp edge" in Journal of Russian Laser Research, 39, no. 5 (2018):438-447,
https://doi.org/10.1007/s10946-018-9738-9 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Davidović, Miloš D.
AU  - Sanz, Angel S
AU  - Božić, Mirjana
AU  - Vasiljević, Darko
PY  - 2018
UR  - https://link.springer.com/article/10.1007/s10946-018-9738-9
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1753
AB  - In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel–Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths.
PB  - Springer
T2  - Journal of Russian Laser Research
T1  - Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge
VL  - 39
DO  - 10.1007/s10946-018-9738-9
ER  - 

@article{
author = "Davidović, Milena and Davidović, Miloš D. and Sanz, Angel S and Božić, Mirjana and Vasiljević, Darko",
year = "2018",
abstract = "In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears in the region of geometric shadow, while intensity oscillations are observed in the non-obstructed area. On both sides of the edge, there are also very long light traces along the normal to the edge of the obstacle. The theoretical explanation of this phenomenon is based on the Fresnel–Kirchhoff diffraction theory applied to the Gaussian beam propagation behind the obstacle. In this paper, we supplement this explanation by considering electromagnetic flow lines, which provide a more complete interpretation of the phenomenon in terms of electric and magnetic fields and flux lines; at the same time, that can be related to average photon paths.",
publisher = "Springer",
journal = "Journal of Russian Laser Research",
title = "Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge",
volume = "39",
doi = "10.1007/s10946-018-9738-9"
}

Davidović, M., Davidović, M. D., Sanz, A. S., Božić, M.,& Vasiljević, D.. (2018). Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge. in Journal of Russian Laser Research
Springer., 39.
https://doi.org/10.1007/s10946-018-9738-9

Davidović M, Davidović MD, Sanz AS, Božić M, Vasiljević D. Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge. in Journal of Russian Laser Research. 2018;39.
doi:10.1007/s10946-018-9738-9 .

Davidović, Milena, Davidović, Miloš D., Sanz, Angel S, Božić, Mirjana, Vasiljević, Darko, "Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge" in Journal of Russian Laser Research, 39 (2018),
https://doi.org/10.1007/s10946-018-9738-9 . .

TY  - CONF
AU  - Bulat, Sanja
AU  - Davidović, Milena
AU  - Ivančević, Ljiljana
AU  - Joksimović, Milenija
AU  - Marković-Topalović, Tatjana
AU  - Popović-Božić, Mirjana
AU  - Stojičić, Biljana
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1541
C3  - Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike
T1  - Naučna vizuelizacija u školskom prostoru i na pametnom telefonu II
EP  - 11
SP  - 5
VL  - 5
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1541
ER  - 

@conference{
author = "Bulat, Sanja and Davidović, Milena and Ivančević, Ljiljana and Joksimović, Milenija and Marković-Topalović, Tatjana and Popović-Božić, Mirjana and Stojičić, Biljana",
year = "2017",
journal = "Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike",
title = "Naučna vizuelizacija u školskom prostoru i na pametnom telefonu II",
pages = "11-5",
volume = "5",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1541"
}

Bulat, S., Davidović, M., Ivančević, L., Joksimović, M., Marković-Topalović, T., Popović-Božić, M.,& Stojičić, B.. (2017). Naučna vizuelizacija u školskom prostoru i na pametnom telefonu II. in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike, 5, 5-11.
https://hdl.handle.net/21.15107/rcub_grafar_1541

Bulat S, Davidović M, Ivančević L, Joksimović M, Marković-Topalović T, Popović-Božić M, Stojičić B. Naučna vizuelizacija u školskom prostoru i na pametnom telefonu II. in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike. 2017;5:5-11.
https://hdl.handle.net/21.15107/rcub_grafar_1541 .

Bulat, Sanja, Davidović, Milena, Ivančević, Ljiljana, Joksimović, Milenija, Marković-Topalović, Tatjana, Popović-Božić, Mirjana, Stojičić, Biljana, "Naučna vizuelizacija u školskom prostoru i na pametnom telefonu II" in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike, 5 (2017):5-11,
https://hdl.handle.net/21.15107/rcub_grafar_1541 .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Davidović, Milena
AU  - Pandžić, Jelena
AU  - Božić, Mirjana
AU  - Vasiljević, Darko
AU  - Srećković, Milesa
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1947
AB  - Innovative technologies often join their methodologies, instruments and techniques in solving various types of sophisticated problems in the area of architectural cultural heritage. Beside precise photogrammetric and laser scanning methods, the other less expensive and less time consuming methods for 3D scene/object reconstruction exist. The choice of tools/instruments and methodologies depends on large scale of factors (time or space limitations, finances, availability of instruments and graphic software, etc.). For particular project's purposes, 3D scene reconstruction, the chimney of an old brick factory in Belgrade with its surrounding buildings, was performed and presented as 3D digital model. The combination of 3D modeling graphic software tools,
measurement data recorded by laser based geodetic instrument and image data taken by digital camera were employed for architectural scene reconstruction. Since there was no available technical documentation, first part of the project included measurements of existing
objects. The task concerning precise dimensioning and spatial positioning, especially regarding the chimney was set. The scene (chimney and surrounding objects) was recorded by photo camera Canon Powershot A710 IS from the second floor of the Institute of Physics' building, while real geodetic measurements were obtained by geodetic instrument - total station Sokkia SET3130R3 positioned at the same view-point. Based on coordinates of some characteristic points on the chimney and the building, the scene was reconstructed and modeled in real dimensions in graphic software Auto CAD. Classical Descriptive geometry method for single image restitution was employed in addition for the purposes of correct spatial positioning (mutual relationships) of two recorded objects, and comparison of obtained results as well. This reconstruction project has its educational, cultural and documenting aims. Hence employed and gathered various disciplines and knowledge gave an adequate solution of practical engineering multidisciplinary task.
PB  - Centralni institut za konzervaciju
PB  - Naučno društvo za razvoj i afirmaciju novih tehnologija
C3  - Zbornik izabranih radova i izvoda - Prvni naučni skup Multidisciplinarni pristup kulturnoj baštini, materijalima i tehnologijama
T1  - Application of digital graphic tools and contactless measuring instruments in 3D scene reconstruction
EP  - 47
SP  - 42
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1947
ER  - 

@conference{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Davidović, Milena and Pandžić, Jelena and Božić, Mirjana and Vasiljević, Darko and Srećković, Milesa",
year = "2017",
abstract = "Innovative technologies often join their methodologies, instruments and techniques in solving various types of sophisticated problems in the area of architectural cultural heritage. Beside precise photogrammetric and laser scanning methods, the other less expensive and less time consuming methods for 3D scene/object reconstruction exist. The choice of tools/instruments and methodologies depends on large scale of factors (time or space limitations, finances, availability of instruments and graphic software, etc.). For particular project's purposes, 3D scene reconstruction, the chimney of an old brick factory in Belgrade with its surrounding buildings, was performed and presented as 3D digital model. The combination of 3D modeling graphic software tools,
measurement data recorded by laser based geodetic instrument and image data taken by digital camera were employed for architectural scene reconstruction. Since there was no available technical documentation, first part of the project included measurements of existing
objects. The task concerning precise dimensioning and spatial positioning, especially regarding the chimney was set. The scene (chimney and surrounding objects) was recorded by photo camera Canon Powershot A710 IS from the second floor of the Institute of Physics' building, while real geodetic measurements were obtained by geodetic instrument - total station Sokkia SET3130R3 positioned at the same view-point. Based on coordinates of some characteristic points on the chimney and the building, the scene was reconstructed and modeled in real dimensions in graphic software Auto CAD. Classical Descriptive geometry method for single image restitution was employed in addition for the purposes of correct spatial positioning (mutual relationships) of two recorded objects, and comparison of obtained results as well. This reconstruction project has its educational, cultural and documenting aims. Hence employed and gathered various disciplines and knowledge gave an adequate solution of practical engineering multidisciplinary task.",
publisher = "Centralni institut za konzervaciju, Naučno društvo za razvoj i afirmaciju novih tehnologija",
journal = "Zbornik izabranih radova i izvoda - Prvni naučni skup Multidisciplinarni pristup kulturnoj baštini, materijalima i tehnologijama",
title = "Application of digital graphic tools and contactless measuring instruments in 3D scene reconstruction",
pages = "47-42",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1947"
}

Dragović, M., Čučaković, A., Davidović, M., Pandžić, J., Božić, M., Vasiljević, D.,& Srećković, M.. (2017). Application of digital graphic tools and contactless measuring instruments in 3D scene reconstruction. in Zbornik izabranih radova i izvoda - Prvni naučni skup Multidisciplinarni pristup kulturnoj baštini, materijalima i tehnologijama
Centralni institut za konzervaciju., 42-47.
https://hdl.handle.net/21.15107/rcub_grafar_1947

Dragović M, Čučaković A, Davidović M, Pandžić J, Božić M, Vasiljević D, Srećković M. Application of digital graphic tools and contactless measuring instruments in 3D scene reconstruction. in Zbornik izabranih radova i izvoda - Prvni naučni skup Multidisciplinarni pristup kulturnoj baštini, materijalima i tehnologijama. 2017;:42-47.
https://hdl.handle.net/21.15107/rcub_grafar_1947 .

Dragović, Magdalena, Čučaković, Aleksandar, Davidović, Milena, Pandžić, Jelena, Božić, Mirjana, Vasiljević, Darko, Srećković, Milesa, "Application of digital graphic tools and contactless measuring instruments in 3D scene reconstruction" in Zbornik izabranih radova i izvoda - Prvni naučni skup Multidisciplinarni pristup kulturnoj baštini, materijalima i tehnologijama (2017):42-47,
https://hdl.handle.net/21.15107/rcub_grafar_1947 .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milos D.
AU  - Davidović, Milena
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/877
AB  - We consider scale transformations (q, p) - gt (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop a method that allows finding so-called stretched states to which these superpositions transform under such a scale transformation. We study the properties of the stretched states and calculate their density matrices in explicit form. We establish that the density matrix structure can be described using negative binomial distributions. We find expressions for the energy and entropy of stretched states and calculate the means of the number-ofstates operator. We give the form of the Heisenberg and Robertson-Schrodinger uncertainty relations for stretched states.
PB  - Maik Nauka Publishing / Springer SBM
T2  - Theoretical and Mathematical Physics
T1  - Scale transformations in phase space and stretched states of a harmonic oscillator
EP  - 1096
IS  - 1
SP  - 1080
VL  - 192
DO  - 10.1134/S0040577917070091
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milos D. and Davidović, Milena",
year = "2017",
abstract = "We consider scale transformations (q, p) - gt (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop a method that allows finding so-called stretched states to which these superpositions transform under such a scale transformation. We study the properties of the stretched states and calculate their density matrices in explicit form. We establish that the density matrix structure can be described using negative binomial distributions. We find expressions for the energy and entropy of stretched states and calculate the means of the number-ofstates operator. We give the form of the Heisenberg and Robertson-Schrodinger uncertainty relations for stretched states.",
publisher = "Maik Nauka Publishing / Springer SBM",
journal = "Theoretical and Mathematical Physics",
title = "Scale transformations in phase space and stretched states of a harmonic oscillator",
pages = "1096-1080",
number = "1",
volume = "192",
doi = "10.1134/S0040577917070091"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M. D.,& Davidović, M.. (2017). Scale transformations in phase space and stretched states of a harmonic oscillator. in Theoretical and Mathematical Physics
Maik Nauka Publishing / Springer SBM., 192(1), 1080-1096.
https://doi.org/10.1134/S0040577917070091

Andreev VA, Davidović DM, Davidović LD, Davidović MD, Davidović M. Scale transformations in phase space and stretched states of a harmonic oscillator. in Theoretical and Mathematical Physics. 2017;192(1):1080-1096.
doi:10.1134/S0040577917070091 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milos D., Davidović, Milena, "Scale transformations in phase space and stretched states of a harmonic oscillator" in Theoretical and Mathematical Physics, 192, no. 1 (2017):1080-1096,
https://doi.org/10.1134/S0040577917070091 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Božić, Mirjana
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1518
T2  - Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike
T1  - Trajektorije fotona i kvantona kao aktuelna istraživačka tema
EP  - 27
SP  - 21
VL  - 5
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1518
ER  - 

@article{
author = "Davidović, Milena and Božić, Mirjana",
year = "2017",
journal = "Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike",
title = "Trajektorije fotona i kvantona kao aktuelna istraživačka tema",
pages = "27-21",
volume = "5",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1518"
}

Davidović, M.,& Božić, M.. (2017). Trajektorije fotona i kvantona kao aktuelna istraživačka tema. in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike, 5, 21-27.
https://hdl.handle.net/21.15107/rcub_grafar_1518

Davidović M, Božić M. Trajektorije fotona i kvantona kao aktuelna istraživačka tema. in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike. 2017;5:21-27.
https://hdl.handle.net/21.15107/rcub_grafar_1518 .

Davidović, Milena, Božić, Mirjana, "Trajektorije fotona i kvantona kao aktuelna istraživačka tema" in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike, 5 (2017):21-27,
https://hdl.handle.net/21.15107/rcub_grafar_1518 .

TY  - CONF
AU  - Davidović, Milena
AU  - Vasiljević, Darko
AU  - Božić, Mirjana
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1434
C3  - Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike
T1  - Difrakcija laserske svetlosti na oštroj ivici
EP  - 59
SP  - 55
VL  - 3
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1434
ER  - 

@conference{
author = "Davidović, Milena and Vasiljević, Darko and Božić, Mirjana",
year = "2016",
journal = "Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike",
title = "Difrakcija laserske svetlosti na oštroj ivici",
pages = "59-55",
volume = "3",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1434"
}

Davidović, M., Vasiljević, D.,& Božić, M.. (2016). Difrakcija laserske svetlosti na oštroj ivici. in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike, 3, 55-59.
https://hdl.handle.net/21.15107/rcub_grafar_1434

Davidović M, Vasiljević D, Božić M. Difrakcija laserske svetlosti na oštroj ivici. in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike. 2016;3:55-59.
https://hdl.handle.net/21.15107/rcub_grafar_1434 .

Davidović, Milena, Vasiljević, Darko, Božić, Mirjana, "Difrakcija laserske svetlosti na oštroj ivici" in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike, 3 (2016):55-59,
https://hdl.handle.net/21.15107/rcub_grafar_1434 .

TY  - CONF
AU  - Bulat, Sanja
AU  - Davidović, Milena
AU  - Ivančević, Ljiljana
AU  - Joksimović, Milenija
AU  - Marković-Topalović, Tatjana
AU  - Popović-Božić, Mirjana
AU  - Stojičić, Biljana
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1393
C3  - Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike
T1  - Naučna vizuelizacija u školskom prostoru i na pametnom telefonu
EP  - 49
SP  - 45
VL  - 3
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1393
ER  - 

@conference{
author = "Bulat, Sanja and Davidović, Milena and Ivančević, Ljiljana and Joksimović, Milenija and Marković-Topalović, Tatjana and Popović-Božić, Mirjana and Stojičić, Biljana",
year = "2016",
journal = "Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike",
title = "Naučna vizuelizacija u školskom prostoru i na pametnom telefonu",
pages = "49-45",
volume = "3",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1393"
}

Bulat, S., Davidović, M., Ivančević, L., Joksimović, M., Marković-Topalović, T., Popović-Božić, M.,& Stojičić, B.. (2016). Naučna vizuelizacija u školskom prostoru i na pametnom telefonu. in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike, 3, 45-49.
https://hdl.handle.net/21.15107/rcub_grafar_1393

Bulat S, Davidović M, Ivančević L, Joksimović M, Marković-Topalović T, Popović-Božić M, Stojičić B. Naučna vizuelizacija u školskom prostoru i na pametnom telefonu. in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike. 2016;3:45-49.
https://hdl.handle.net/21.15107/rcub_grafar_1393 .

Bulat, Sanja, Davidović, Milena, Ivančević, Ljiljana, Joksimović, Milenija, Marković-Topalović, Tatjana, Popović-Božić, Mirjana, Stojičić, Biljana, "Naučna vizuelizacija u školskom prostoru i na pametnom telefonu" in Nastava fizike : zbornik radova sa Republičkog seminara o nastavi fizike, 3 (2016):45-49,
https://hdl.handle.net/21.15107/rcub_grafar_1393 .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milos D.
AU  - Davidović, Milena
AU  - Zotov, Sergey D.
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/807
AB  - We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - gt (aiiq; aiip), the Husimi function of any physical state is converted into a function which is also the Husimi function of some physical state. More precisely, it has been proved that, if Q(q, p) is the Husimi function, the function aii(2) Q(aiiq; aiip) is also the Husimi function. We call a state with the Husimi function aii(2) Q(aiiq; aiip) the stretched state and investigate the properties of the stretched Fock states. These states can be obtained as a result of applying the scaling transform to the Fock states of the harmonic oscillator. The harmonic-oscillator Fock states are pure states, but the stretched Fock states are mixed states. We find the density matrices of stretched Fock states in an explicit form. Their structure can be described with the help of negative binomial distributions. We present the graphs of distributions of negative binomial coefficients for different stretched Fock states and show the von Neumann entropy of the simplest stretched Fock state.
PB  - Springer New York LLC
T2  - Journal of Russian Laser Research
T1  - Scaling Transform and Stretched States in Quantum Mechanics
EP  - 439
IS  - 5
SP  - 434
VL  - 37
DO  - 10.1007/s10946-016-9594-4
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milos D. and Davidović, Milena and Zotov, Sergey D.",
year = "2016",
abstract = "We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - gt (aiiq; aiip), the Husimi function of any physical state is converted into a function which is also the Husimi function of some physical state. More precisely, it has been proved that, if Q(q, p) is the Husimi function, the function aii(2) Q(aiiq; aiip) is also the Husimi function. We call a state with the Husimi function aii(2) Q(aiiq; aiip) the stretched state and investigate the properties of the stretched Fock states. These states can be obtained as a result of applying the scaling transform to the Fock states of the harmonic oscillator. The harmonic-oscillator Fock states are pure states, but the stretched Fock states are mixed states. We find the density matrices of stretched Fock states in an explicit form. Their structure can be described with the help of negative binomial distributions. We present the graphs of distributions of negative binomial coefficients for different stretched Fock states and show the von Neumann entropy of the simplest stretched Fock state.",
publisher = "Springer New York LLC",
journal = "Journal of Russian Laser Research",
title = "Scaling Transform and Stretched States in Quantum Mechanics",
pages = "439-434",
number = "5",
volume = "37",
doi = "10.1007/s10946-016-9594-4"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M. D., Davidović, M.,& Zotov, S. D.. (2016). Scaling Transform and Stretched States in Quantum Mechanics. in Journal of Russian Laser Research
Springer New York LLC., 37(5), 434-439.
https://doi.org/10.1007/s10946-016-9594-4

Andreev VA, Davidović DM, Davidović LD, Davidović MD, Davidović M, Zotov SD. Scaling Transform and Stretched States in Quantum Mechanics. in Journal of Russian Laser Research. 2016;37(5):434-439.
doi:10.1007/s10946-016-9594-4 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milos D., Davidović, Milena, Zotov, Sergey D., "Scaling Transform and Stretched States in Quantum Mechanics" in Journal of Russian Laser Research, 37, no. 5 (2016):434-439,
https://doi.org/10.1007/s10946-016-9594-4 . .