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  - 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  - 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  - 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  - 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 . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Milena
AU  - Davidović, Ljubica D.
AU  - Davidović, Milos D.
AU  - Davidović, Dragomir M.
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/666
AB  - We propose a new method for the derivation of Husimi symbols, for operators that are given in the form of products of an arbitrary number of coordinates, and momentum operators, in an arbitrary order. For such an operator, in the standard approach, one expresses coordinate and momentum operators as a linear combination of the creation and annihilation operators, and then uses the antinormal ordering to obtain the final form of the symbol. In our method, one obtains the Husimi symbol in a much more straightforward fashion, departing directly from operator explicit form without transforming it through creation and annihilation operators. With this method the mean values of some operators are found. It is shown how the Heisenberg and the Schrodinger-Robertson uncertainty relations, for position and momentum, are transformed under scale transformation (q; p) - gt (lambda q; lambda p). The physical sense of some states which can be constructed with this transformation is also discussed.
PB  - Institute of Physics Publishing
T2  - Physica Scripta
T1  - Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations
IS  - 7
VL  - 90
DO  - 10.1088/0031-8949/90/7/074023
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Milena and Davidović, Ljubica D. and Davidović, Milos D. and Davidović, Dragomir M.",
year = "2015",
abstract = "We propose a new method for the derivation of Husimi symbols, for operators that are given in the form of products of an arbitrary number of coordinates, and momentum operators, in an arbitrary order. For such an operator, in the standard approach, one expresses coordinate and momentum operators as a linear combination of the creation and annihilation operators, and then uses the antinormal ordering to obtain the final form of the symbol. In our method, one obtains the Husimi symbol in a much more straightforward fashion, departing directly from operator explicit form without transforming it through creation and annihilation operators. With this method the mean values of some operators are found. It is shown how the Heisenberg and the Schrodinger-Robertson uncertainty relations, for position and momentum, are transformed under scale transformation (q; p) - gt (lambda q; lambda p). The physical sense of some states which can be constructed with this transformation is also discussed.",
publisher = "Institute of Physics Publishing",
journal = "Physica Scripta",
title = "Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations",
number = "7",
volume = "90",
doi = "10.1088/0031-8949/90/7/074023"
}

Andreev, V. A., Davidović, M., Davidović, L. D., Davidović, M. D.,& Davidović, D. M.. (2015). Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations. in Physica Scripta
Institute of Physics Publishing., 90(7).
https://doi.org/10.1088/0031-8949/90/7/074023

Andreev VA, Davidović M, Davidović LD, Davidović MD, Davidović DM. Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations. in Physica Scripta. 2015;90(7).
doi:10.1088/0031-8949/90/7/074023 .

Andreev, Vladimir A., Davidović, Milena, Davidović, Ljubica D., Davidović, Milos D., Davidović, Dragomir M., "Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations" in Physica Scripta, 90, no. 7 (2015),
https://doi.org/10.1088/0031-8949/90/7/074023 . .

TY  - JOUR
AU  - Sanz, Angel S.
AU  - Davidović, Milena
AU  - Božić, Mirjana
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/703
AB  - Atomic three-grating Mach Zehnder interferometry constitutes an important tool to probe fundamental aspects the quantum theory. There is, however, a remarkable gap in the literature betweenthe oversimplified models and robust numerical simulations considered to describe the corresponding experiments. Consequently, the former usually lead to paradoxical scenarios, such as the wave-particle dual behavior of atoms, while the latter make difficult the data analysis in simple terms. Here these issues are tackled by means of a simple grating working model consisting of evenly-spaced Gaussian slits. As is shown, this model suffices to explore and explain such experiments both analytically and numerically, giving a good account of the full atomic journey inside the interferometer, and hence contributing to make less mystic the physics involved. More specifically, it provides a clear and unambiguous picture of the wavefront splitting that takes place inside the interferometer, illustrating how the momentum along each emerging diffraction order is well defined even though the wave function itself still displays a rather complex shape. To this end, the local transverse momentum is also introduced in this context as a reliable analytical tool. The splitting, apart from being a key issue to understand atomic Mach-Zehnder interferometry, also demonstrates at a fundamental level how wave and particle aspects are always present in the experiment, without incurring in any contradiction or interpretive paradox. On the other hand, at a practical level, the generality and versatility of the model and methodology presented, makes them suitable to attack analogous problems in a simple manner after a convenient tuning.
PB  - Academic Press Inc.
T2  - Annals of Physics
T1  - Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry
EP  - 221
SP  - 205
VL  - 353
DO  - 10.1016/j.aop.2014.11.012
ER  - 

@article{
author = "Sanz, Angel S. and Davidović, Milena and Božić, Mirjana",
year = "2015",
abstract = "Atomic three-grating Mach Zehnder interferometry constitutes an important tool to probe fundamental aspects the quantum theory. There is, however, a remarkable gap in the literature betweenthe oversimplified models and robust numerical simulations considered to describe the corresponding experiments. Consequently, the former usually lead to paradoxical scenarios, such as the wave-particle dual behavior of atoms, while the latter make difficult the data analysis in simple terms. Here these issues are tackled by means of a simple grating working model consisting of evenly-spaced Gaussian slits. As is shown, this model suffices to explore and explain such experiments both analytically and numerically, giving a good account of the full atomic journey inside the interferometer, and hence contributing to make less mystic the physics involved. More specifically, it provides a clear and unambiguous picture of the wavefront splitting that takes place inside the interferometer, illustrating how the momentum along each emerging diffraction order is well defined even though the wave function itself still displays a rather complex shape. To this end, the local transverse momentum is also introduced in this context as a reliable analytical tool. The splitting, apart from being a key issue to understand atomic Mach-Zehnder interferometry, also demonstrates at a fundamental level how wave and particle aspects are always present in the experiment, without incurring in any contradiction or interpretive paradox. On the other hand, at a practical level, the generality and versatility of the model and methodology presented, makes them suitable to attack analogous problems in a simple manner after a convenient tuning.",
publisher = "Academic Press Inc.",
journal = "Annals of Physics",
title = "Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry",
pages = "221-205",
volume = "353",
doi = "10.1016/j.aop.2014.11.012"
}

Sanz, A. S., Davidović, M.,& Božić, M.. (2015). Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry. in Annals of Physics
Academic Press Inc.., 353, 205-221.
https://doi.org/10.1016/j.aop.2014.11.012

Sanz AS, Davidović M, Božić M. Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry. in Annals of Physics. 2015;353:205-221.
doi:10.1016/j.aop.2014.11.012 .

Sanz, Angel S., Davidović, Milena, Božić, Mirjana, "Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry" in Annals of Physics, 353 (2015):205-221,
https://doi.org/10.1016/j.aop.2014.11.012 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/718
AB  - Bohmian mechanics, a hydrodynamic formulation of quantum mechanics, relies on the concept of trajectory, which evolves in time in compliance with dynamical information conveyed by the wave function. Here, this appealing idea is considered to analyze both classical and quantum interference, thus providing an alternative and more intuitive framework to understand the time evolution of waves either in terms of the flow of energy (for instance, for mechanical waves, sound waves, and electromagnetic waves) or analogously the flow of probability (quantum waves). Furthermore, this procedure also supplies a more robust explanation of interference phenomena, which currently is only based on the superposition principle. That is, while this principle only describes how different waves combine and what effects these combinations may lead to, flow lines provide a more precise explanation on how the energy or probability propagates in space before, during, and after the combination of such waves, without dealing with them separately (i.e., the combination or superposition is taken as a whole). In this sense, concepts such as constructive and destructive interference, typically associated with the superposition principle, physically correspond to more or less dense swarms of (energy or probability) flow lines. A direct consequence of this description is that, when considering the distribution of electromagnetic energy flow lines behind two slits, each one covered by a differently oriented polarizer, it is naturally found that external observers' information on the slit crossed by single photons (understood as energy parcels) is totally irrelevant for the existence of interference fringes, in striking contrast to what is commonly stated and taught.
PB  - Springer New York LLC
T2  - Journal of Russian Laser Research
T1  - Description of classical and quantum interference in view of the concept of flow line
EP  - 342
IS  - 4
SP  - 329
VL  - 36
DO  - 10.1007/s10946-015-9507-y
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Božić, Mirjana",
year = "2015",
abstract = "Bohmian mechanics, a hydrodynamic formulation of quantum mechanics, relies on the concept of trajectory, which evolves in time in compliance with dynamical information conveyed by the wave function. Here, this appealing idea is considered to analyze both classical and quantum interference, thus providing an alternative and more intuitive framework to understand the time evolution of waves either in terms of the flow of energy (for instance, for mechanical waves, sound waves, and electromagnetic waves) or analogously the flow of probability (quantum waves). Furthermore, this procedure also supplies a more robust explanation of interference phenomena, which currently is only based on the superposition principle. That is, while this principle only describes how different waves combine and what effects these combinations may lead to, flow lines provide a more precise explanation on how the energy or probability propagates in space before, during, and after the combination of such waves, without dealing with them separately (i.e., the combination or superposition is taken as a whole). In this sense, concepts such as constructive and destructive interference, typically associated with the superposition principle, physically correspond to more or less dense swarms of (energy or probability) flow lines. A direct consequence of this description is that, when considering the distribution of electromagnetic energy flow lines behind two slits, each one covered by a differently oriented polarizer, it is naturally found that external observers' information on the slit crossed by single photons (understood as energy parcels) is totally irrelevant for the existence of interference fringes, in striking contrast to what is commonly stated and taught.",
publisher = "Springer New York LLC",
journal = "Journal of Russian Laser Research",
title = "Description of classical and quantum interference in view of the concept of flow line",
pages = "342-329",
number = "4",
volume = "36",
doi = "10.1007/s10946-015-9507-y"
}

Davidović, M., Sanz, A. S.,& Božić, M.. (2015). Description of classical and quantum interference in view of the concept of flow line. in Journal of Russian Laser Research
Springer New York LLC., 36(4), 329-342.
https://doi.org/10.1007/s10946-015-9507-y

Davidović M, Sanz AS, Božić M. Description of classical and quantum interference in view of the concept of flow line. in Journal of Russian Laser Research. 2015;36(4):329-342.
doi:10.1007/s10946-015-9507-y .

Davidović, Milena, Sanz, Angel S., Božić, Mirjana, "Description of classical and quantum interference in view of the concept of flow line" in Journal of Russian Laser Research, 36, no. 4 (2015):329-342,
https://doi.org/10.1007/s10946-015-9507-y . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milena
AU  - Davidović, Milos D.
AU  - Man'ko, V. I.
AU  - Manko, M. A.
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/645
AB  - We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum operators (q) over cap and (p) over cap are assigned other operators (X) over cap and (P) over cap satisfying the same commutation relations. We then find the result of acting with the (X) over cap and (P) over cap operators and also polynomials in these operators on the Husimi function. After the obtained expression is integrated over the phase space coordinates, the integrand becomes a Husimi function times the symbol of the operator chosen to act on that function. We explicitly evaluate the Husimi symbols for operators that are powers of (X) over cap or (P) over cap.
PB  - Maik Nauka Publishing / Springer SBM
T2  - Theoretical and Mathematical Physics
T1  - Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols
EP  - 573
IS  - 2
SP  - 559
VL  - 179
DO  - 10.1007/s11232-014-0162-1
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Ljubica D. and Davidović, Milena and Davidović, Milos D. and Man'ko, V. I. and Manko, M. A.",
year = "2014",
abstract = "We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum operators (q) over cap and (p) over cap are assigned other operators (X) over cap and (P) over cap satisfying the same commutation relations. We then find the result of acting with the (X) over cap and (P) over cap operators and also polynomials in these operators on the Husimi function. After the obtained expression is integrated over the phase space coordinates, the integrand becomes a Husimi function times the symbol of the operator chosen to act on that function. We explicitly evaluate the Husimi symbols for operators that are powers of (X) over cap or (P) over cap.",
publisher = "Maik Nauka Publishing / Springer SBM",
journal = "Theoretical and Mathematical Physics",
title = "Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols",
pages = "573-559",
number = "2",
volume = "179",
doi = "10.1007/s11232-014-0162-1"
}

Andreev, V. A., Davidović, L. D., Davidović, M., Davidović, M. D., Man'ko, V. I.,& Manko, M. A.. (2014). Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols. in Theoretical and Mathematical Physics
Maik Nauka Publishing / Springer SBM., 179(2), 559-573.
https://doi.org/10.1007/s11232-014-0162-1

Andreev VA, Davidović LD, Davidović M, Davidović MD, Man'ko VI, Manko MA. Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols. in Theoretical and Mathematical Physics. 2014;179(2):559-573.
doi:10.1007/s11232-014-0162-1 .

Andreev, Vladimir A., Davidović, Ljubica D., Davidović, Milena, Davidović, Milos D., Man'ko, V. I., Manko, M. A., "Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols" in Theoretical and Mathematical Physics, 179, no. 2 (2014):559-573,
https://doi.org/10.1007/s11232-014-0162-1 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Božić, Mirjana
AU  - Slisko, Josip
AU  - Gajić, Radoš
AU  - Dragović, Magdalena
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/640
AB  - We describe a rather simple optical experiment, which many students can easily carry out, but the theoretical explanation of which requires far-from-simple mathematical analysis and application of numerical methods. A thin vertical rod, partially immersed in a liquid-filled transparent cylindrical container, is moved from the centre toward the wall and observed laterally. As it moves, the part seen through the air and the part seen through the water start to separate, so that at a certain distance from the centre the lower part of the rod becomes invisible. We show that this happens at the distance for which the refracted ray that reaches the observer's eye is along the tangent to the surface of a cylinder. We derive the expression for this distance as a function of the index of refraction and ratio d/r, where d is the distance of the observer from the surface and r is the radius of the container. The locus of image positions is determined by evaluating the intersections of pairs of close rays from the rod which reach the observer's eye after refraction at the surface of the container.
PB  - Institute of Physics Publishing
T2  - European Journal of Physics
T1  - Image positions of a vertical rod in a liquid-filled cylindrical container
IS  - 2
VL  - 35
DO  - 10.1088/0143-0807/35/2/025011
ER  - 

@article{
author = "Davidović, Milena and Božić, Mirjana and Slisko, Josip and Gajić, Radoš and Dragović, Magdalena",
year = "2014",
abstract = "We describe a rather simple optical experiment, which many students can easily carry out, but the theoretical explanation of which requires far-from-simple mathematical analysis and application of numerical methods. A thin vertical rod, partially immersed in a liquid-filled transparent cylindrical container, is moved from the centre toward the wall and observed laterally. As it moves, the part seen through the air and the part seen through the water start to separate, so that at a certain distance from the centre the lower part of the rod becomes invisible. We show that this happens at the distance for which the refracted ray that reaches the observer's eye is along the tangent to the surface of a cylinder. We derive the expression for this distance as a function of the index of refraction and ratio d/r, where d is the distance of the observer from the surface and r is the radius of the container. The locus of image positions is determined by evaluating the intersections of pairs of close rays from the rod which reach the observer's eye after refraction at the surface of the container.",
publisher = "Institute of Physics Publishing",
journal = "European Journal of Physics",
title = "Image positions of a vertical rod in a liquid-filled cylindrical container",
number = "2",
volume = "35",
doi = "10.1088/0143-0807/35/2/025011"
}

Davidović, M., Božić, M., Slisko, J., Gajić, R.,& Dragović, M.. (2014). Image positions of a vertical rod in a liquid-filled cylindrical container. in European Journal of Physics
Institute of Physics Publishing., 35(2).
https://doi.org/10.1088/0143-0807/35/2/025011

Davidović M, Božić M, Slisko J, Gajić R, Dragović M. Image positions of a vertical rod in a liquid-filled cylindrical container. in European Journal of Physics. 2014;35(2).
doi:10.1088/0143-0807/35/2/025011 .

Davidović, Milena, Božić, Mirjana, Slisko, Josip, Gajić, Radoš, Dragović, Magdalena, "Image positions of a vertical rod in a liquid-filled cylindrical container" in European Journal of Physics, 35, no. 2 (2014),
https://doi.org/10.1088/0143-0807/35/2/025011 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Arsenović, Dušan
AU  - Dimić, Dragan
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/546
AB  - We present a trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot. This approach is based on the equation of the trajectory associated with the quantum probability current density in the case of massive particles, and the Poynting vector for the electromagnetic field in the case of photons. Both the form and properties of the evaluated photon trajectories are in good agreement with the averaged trajectories of single photons observed recently in Young's experiment by Steinberg's group at the University of Toronto. In the case of the Arago-Fresnel laws for polarized light, the trajectory interpretation presented here differs from interpretations based on the concept of 'which-way' (or 'which-slit') information and quantum erasure. More specifically, the observer's information about the slit that the photons went through is not relevant to the existence of interference; what is relevant is the form of the electromagnetic energy density and its evolution, which will model consequently the distribution of trajectories and their topology. Finally, we also show that the distributions of end points of a large number of evaluated photon trajectories are in agreement with the distributions measured at the screen behind a circular disc, clearly giving rise to the Poisson-Arago spot.
T2  - Physica Scripta
T1  - Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles
DO  - 10.1088/0031-8949/2013/T153/014015
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Božić, Mirjana and Arsenović, Dušan and Dimić, Dragan",
year = "2013",
abstract = "We present a trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot. This approach is based on the equation of the trajectory associated with the quantum probability current density in the case of massive particles, and the Poynting vector for the electromagnetic field in the case of photons. Both the form and properties of the evaluated photon trajectories are in good agreement with the averaged trajectories of single photons observed recently in Young's experiment by Steinberg's group at the University of Toronto. In the case of the Arago-Fresnel laws for polarized light, the trajectory interpretation presented here differs from interpretations based on the concept of 'which-way' (or 'which-slit') information and quantum erasure. More specifically, the observer's information about the slit that the photons went through is not relevant to the existence of interference; what is relevant is the form of the electromagnetic energy density and its evolution, which will model consequently the distribution of trajectories and their topology. Finally, we also show that the distributions of end points of a large number of evaluated photon trajectories are in agreement with the distributions measured at the screen behind a circular disc, clearly giving rise to the Poisson-Arago spot.",
journal = "Physica Scripta",
title = "Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles",
doi = "10.1088/0031-8949/2013/T153/014015"
}

Davidović, M., Sanz, A. S., Božić, M., Arsenović, D.,& Dimić, D.. (2013). Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2013/T153/014015

Davidović M, Sanz AS, Božić M, Arsenović D, Dimić D. Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles. in Physica Scripta. 2013;.
doi:10.1088/0031-8949/2013/T153/014015 .

Davidović, Milena, Sanz, Angel S., Božić, Mirjana, Arsenović, Dušan, Dimić, Dragan, "Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles" in Physica Scripta (2013),
https://doi.org/10.1088/0031-8949/2013/T153/014015 . .

TY  - JOUR
AU  - Popov, Dejan
AU  - Pop, Nicolina
AU  - Davidović, Milena
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/521
AB  - In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation.
T2  - Physica Scripta
T1  - Negative binomial states for the pseudoharmonic oscillator
DO  - 10.1088/0031-8949/2013/T153/014051
ER  - 

@article{
author = "Popov, Dejan and Pop, Nicolina and Davidović, Milena",
year = "2013",
abstract = "In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation.",
journal = "Physica Scripta",
title = "Negative binomial states for the pseudoharmonic oscillator",
doi = "10.1088/0031-8949/2013/T153/014051"
}

Popov, D., Pop, N.,& Davidović, M.. (2013). Negative binomial states for the pseudoharmonic oscillator. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2013/T153/014051

Popov D, Pop N, Davidović M. Negative binomial states for the pseudoharmonic oscillator. in Physica Scripta. 2013;.
doi:10.1088/0031-8949/2013/T153/014051 .

Popov, Dejan, Pop, Nicolina, Davidović, Milena, "Negative binomial states for the pseudoharmonic oscillator" in Physica Scripta (2013),
https://doi.org/10.1088/0031-8949/2013/T153/014051 . .

TY  - JOUR
AU  - Davidović, Miloš D.
AU  - Davidović, Milena
AU  - Srećković, Milesa
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/500
AB  - Husimi function originated in phase space formulation of quantum mechanics. This function appears naturally whenever simultaneous measurement of coordinate and impulse with maximal accuracy allowed by the Heisenberg uncertainty relation is performed on a given quantum state and it represents the probability distribution for simultaneous unsharp measurement of coordinate and impulse. Husimi function may analogously be defined for any pair of conjugated variables. In analysis of time varying signals these variables are time and frequency. In this paper we consider Husimi function in time-frequency space, we derive some properties of the function and give time-frequency analysis of some characteristic signals.
AB  - U ovom radu razmotrena je Husimijeva funkcija na prostoru kanonski spregnutih promenljivih vreme-frekvencija. Izvedene su neke njene nove osobine koje su ilustrovane na nekoliko analitički zadatih signala. Pokazano je da se Husimijeva funkcija može koristiti pri vremensko-frekvencijskoj analizi signala.
PB  - Savez inženjera i tehničara Srbije, Beograd
T2  - Tehnika
T1  - Use of Husimi function in time frequency signal analysis
T1  - Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala
EP  - 909
IS  - 5
SP  - 905
VL  - 68
UR  - https://hdl.handle.net/21.15107/rcub_grafar_500
ER  - 

@article{
author = "Davidović, Miloš D. and Davidović, Milena and Srećković, Milesa",
year = "2013",
abstract = "Husimi function originated in phase space formulation of quantum mechanics. This function appears naturally whenever simultaneous measurement of coordinate and impulse with maximal accuracy allowed by the Heisenberg uncertainty relation is performed on a given quantum state and it represents the probability distribution for simultaneous unsharp measurement of coordinate and impulse. Husimi function may analogously be defined for any pair of conjugated variables. In analysis of time varying signals these variables are time and frequency. In this paper we consider Husimi function in time-frequency space, we derive some properties of the function and give time-frequency analysis of some characteristic signals., U ovom radu razmotrena je Husimijeva funkcija na prostoru kanonski spregnutih promenljivih vreme-frekvencija. Izvedene su neke njene nove osobine koje su ilustrovane na nekoliko analitički zadatih signala. Pokazano je da se Husimijeva funkcija može koristiti pri vremensko-frekvencijskoj analizi signala.",
publisher = "Savez inženjera i tehničara Srbije, Beograd",
journal = "Tehnika",
title = "Use of Husimi function in time frequency signal analysis, Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala",
pages = "909-905",
number = "5",
volume = "68",
url = "https://hdl.handle.net/21.15107/rcub_grafar_500"
}

Davidović, M. D., Davidović, M.,& Srećković, M.. (2013). Use of Husimi function in time frequency signal analysis. in Tehnika
Savez inženjera i tehničara Srbije, Beograd., 68(5), 905-909.
https://hdl.handle.net/21.15107/rcub_grafar_500

Davidović MD, Davidović M, Srećković M. Use of Husimi function in time frequency signal analysis. in Tehnika. 2013;68(5):905-909.
https://hdl.handle.net/21.15107/rcub_grafar_500 .

Davidović, Miloš D., Davidović, Milena, Srećković, Milesa, "Use of Husimi function in time frequency signal analysis" in Tehnika, 68, no. 5 (2013):905-909,
https://hdl.handle.net/21.15107/rcub_grafar_500 .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Arsenović, Dušan
PY  - 2012
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/469
AB  - The coherence effects induced by external photons coupled to matter waves inside a Mach-Zehnder three-grating interferometer are analyzed. Alternatively to atom-photon entanglement scenarios, the model considered here only relies on the atomic wavefunction and the momentum shift induced in it by the photon scattering events. A functional dependence is thus found between the observables, namely the fringe visibility and the phase shift, and the transversal momentum transfer distribution. Good quantitative agreement is found when comparing the results obtained from our model with the experimental data.
T2  - Journal of Physics A-Mathematical and Theoretical
T1  - Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis
IS  - 16
VL  - 45
DO  - 10.1088/1751-8113/45/16/165303
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Božić, Mirjana and Arsenović, Dušan",
year = "2012",
abstract = "The coherence effects induced by external photons coupled to matter waves inside a Mach-Zehnder three-grating interferometer are analyzed. Alternatively to atom-photon entanglement scenarios, the model considered here only relies on the atomic wavefunction and the momentum shift induced in it by the photon scattering events. A functional dependence is thus found between the observables, namely the fringe visibility and the phase shift, and the transversal momentum transfer distribution. Good quantitative agreement is found when comparing the results obtained from our model with the experimental data.",
journal = "Journal of Physics A-Mathematical and Theoretical",
title = "Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis",
number = "16",
volume = "45",
doi = "10.1088/1751-8113/45/16/165303"
}

Davidović, M., Sanz, A. S., Božić, M.,& Arsenović, D.. (2012). Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis. in Journal of Physics A-Mathematical and Theoretical, 45(16).
https://doi.org/10.1088/1751-8113/45/16/165303

Davidović M, Sanz AS, Božić M, Arsenović D. Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis. in Journal of Physics A-Mathematical and Theoretical. 2012;45(16).
doi:10.1088/1751-8113/45/16/165303 .

Davidović, Milena, Sanz, Angel S., Božić, Mirjana, Arsenović, Dušan, "Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis" in Journal of Physics A-Mathematical and Theoretical, 45, no. 16 (2012),
https://doi.org/10.1088/1751-8113/45/16/165303 . .