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  - 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 . .

TY  - JOUR
AU  - Božić, Mirjana
AU  - Arsenović, Dušan
AU  - Sanz, Angel S.
AU  - Davidović, Milena
PY  - 2010
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/286
AB  - Here, the influence of resonance photon-atom scattering on the atom interference pattern at the exit of a three-grating Mach-Zehnder interferometer is studied. It is assumed that the scattering process does not destroy the atomic wave function describing the state of the atom before the scattering process takes place, but only induces a certain shift and change of its phase. We find that the visibility of the interference strongly depends on the statistical distribution of transferred momenta to the atom during the photon-atom scattering event. This also explains the experimentally observed (Chapman et al 1995 Phys. Rev. Lett. 75 2783) dependence of the visibility on the ratio d(p)/lambda(i) = y'(12)(2 pi/kd lambda(i)), where y'(12) is the distance between the place where the scattering event occurs and the first grating, k is the wave number of the atomic centre-of-mass motion, d is the grating constant and lambda(i) is the photon wavelength. Furthermore, it is remarkable that photon-atom scattering events happen experimentally within the Fresnel region, i.e. the near-field region, associated with the first grating, which should be taken into account when drawing conclusions about the relevance of 'which-way' information for the interference visibility.
T2  - Physica Scripta
T1  - On the influence of resonance photon scattering on atom interference
SP  - 014017
VL  - T140
DO  - 10.1088/0031-8949/2010/T140/014017
ER  - 

@article{
author = "Božić, Mirjana and Arsenović, Dušan and Sanz, Angel S. and Davidović, Milena",
year = "2010",
abstract = "Here, the influence of resonance photon-atom scattering on the atom interference pattern at the exit of a three-grating Mach-Zehnder interferometer is studied. It is assumed that the scattering process does not destroy the atomic wave function describing the state of the atom before the scattering process takes place, but only induces a certain shift and change of its phase. We find that the visibility of the interference strongly depends on the statistical distribution of transferred momenta to the atom during the photon-atom scattering event. This also explains the experimentally observed (Chapman et al 1995 Phys. Rev. Lett. 75 2783) dependence of the visibility on the ratio d(p)/lambda(i) = y'(12)(2 pi/kd lambda(i)), where y'(12) is the distance between the place where the scattering event occurs and the first grating, k is the wave number of the atomic centre-of-mass motion, d is the grating constant and lambda(i) is the photon wavelength. Furthermore, it is remarkable that photon-atom scattering events happen experimentally within the Fresnel region, i.e. the near-field region, associated with the first grating, which should be taken into account when drawing conclusions about the relevance of 'which-way' information for the interference visibility.",
journal = "Physica Scripta",
title = "On the influence of resonance photon scattering on atom interference",
pages = "014017",
volume = "T140",
doi = "10.1088/0031-8949/2010/T140/014017"
}

Božić, M., Arsenović, D., Sanz, A. S.,& Davidović, M.. (2010). On the influence of resonance photon scattering on atom interference. in Physica Scripta, T140, 014017.
https://doi.org/10.1088/0031-8949/2010/T140/014017

Božić M, Arsenović D, Sanz AS, Davidović M. On the influence of resonance photon scattering on atom interference. in Physica Scripta. 2010;T140:014017.
doi:10.1088/0031-8949/2010/T140/014017 .

Božić, Mirjana, Arsenović, Dušan, Sanz, Angel S., Davidović, Milena, "On the influence of resonance photon scattering on atom interference" in Physica Scripta, T140 (2010):014017,
https://doi.org/10.1088/0031-8949/2010/T140/014017 . .

TY  - JOUR
AU  - Božić, Mirjana
AU  - Arsenović, Dušan
AU  - Sanz, Angel S.
AU  - Davidović, Milena
PY  - 2010
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1862
AB  - Here, the influence of resonance photon-atom scattering on the atom interference pattern at the exit of a three-grating Mach-Zehnder interferometer is studied. It is assumed that the scattering process does not destroy the atomic wave function describing the state of the atom before the scattering process takes place, but only induces a certain shift and change of its phase. We find that the visibility of the interference strongly depends on the statistical distribution of transferred momenta to the atom during the photon-atom scattering event. This also explains the experimentally observed (Chapman et al 1995 Phys. Rev. Lett. 75 2783) dependence of the visibility on the ratio d(p)/lambda(i) = y'(12)(2 pi/kd lambda(i)), where y'(12) is the distance between the place where the scattering event occurs and the first grating, k is the wave number of the atomic centre-of-mass motion, d is the grating constant and lambda(i) is the photon wavelength. Furthermore, it is remarkable that photon-atom scattering events happen experimentally within the Fresnel region, i.e. the near-field region, associated with the first grating, which should be taken into account when drawing conclusions about the relevance of 'which-way' information for the interference visibility.
T2  - Physica Scripta
T1  - On the influence of resonance photon scattering on atom interference
DO  - 10.1088/0031-8949/2010/T140/014017
ER  - 

@article{
author = "Božić, Mirjana and Arsenović, Dušan and Sanz, Angel S. and Davidović, Milena",
year = "2010",
abstract = "Here, the influence of resonance photon-atom scattering on the atom interference pattern at the exit of a three-grating Mach-Zehnder interferometer is studied. It is assumed that the scattering process does not destroy the atomic wave function describing the state of the atom before the scattering process takes place, but only induces a certain shift and change of its phase. We find that the visibility of the interference strongly depends on the statistical distribution of transferred momenta to the atom during the photon-atom scattering event. This also explains the experimentally observed (Chapman et al 1995 Phys. Rev. Lett. 75 2783) dependence of the visibility on the ratio d(p)/lambda(i) = y'(12)(2 pi/kd lambda(i)), where y'(12) is the distance between the place where the scattering event occurs and the first grating, k is the wave number of the atomic centre-of-mass motion, d is the grating constant and lambda(i) is the photon wavelength. Furthermore, it is remarkable that photon-atom scattering events happen experimentally within the Fresnel region, i.e. the near-field region, associated with the first grating, which should be taken into account when drawing conclusions about the relevance of 'which-way' information for the interference visibility.",
journal = "Physica Scripta",
title = "On the influence of resonance photon scattering on atom interference",
doi = "10.1088/0031-8949/2010/T140/014017"
}

Božić, M., Arsenović, D., Sanz, A. S.,& Davidović, M.. (2010). On the influence of resonance photon scattering on atom interference. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2010/T140/014017

Božić M, Arsenović D, Sanz AS, Davidović M. On the influence of resonance photon scattering on atom interference. in Physica Scripta. 2010;.
doi:10.1088/0031-8949/2010/T140/014017 .

Božić, Mirjana, Arsenović, Dušan, Sanz, Angel S., Davidović, Milena, "On the influence of resonance photon scattering on atom interference" in Physica Scripta (2010),
https://doi.org/10.1088/0031-8949/2010/T140/014017 . .

TY  - JOUR
AU  - Arsenović, Dušan
AU  - Božić, Mirjana
AU  - Sanz, Angel S.
AU  - Davidović, Milena
PY  - 2009
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/220
AB  - In 1995, Chapman et al (1995 Phys. Rev. Lett. 75 2783) showed experimentally that the interference contrast in a three-grating atom interferometer does not vanish in the presence of scattering events with photons, as required by the complementarity principle. In this work, we present an analytical study of this experiment by determining the evolution of an atom's wave function along the three-grating Mach-Zehnder interferometer under the assumption that the atom is hit by a photon after passing through the first grating. The consideration of a transverse wave function in momentum representation is essential in this study. As is shown, the number of atoms transmitted through the third grating is given by a simple periodic function of the lateral shift along this grating, both in the absence and in the presence of photon scattering. Moreover, the relative contrast (laser on/laser off) is shown to be a simple analytical function of the ratio d(p)/lambda(i), where d(p) is the distance between atomic paths at the scattering locus and lambda(i) the scattered photon wavelength. We argue that this dependence, being in agreement with experimental results, can be considered as showing compatibility between the wave and corpuscle properties of atoms.
T2  - Physica Scripta
T1  - Evolution of the wave function of an atom hit by a photon in a three-grating interferometer
DO  - 10.1088/0031-8949/2009/135/014025
ER  - 

@article{
author = "Arsenović, Dušan and Božić, Mirjana and Sanz, Angel S. and Davidović, Milena",
year = "2009",
abstract = "In 1995, Chapman et al (1995 Phys. Rev. Lett. 75 2783) showed experimentally that the interference contrast in a three-grating atom interferometer does not vanish in the presence of scattering events with photons, as required by the complementarity principle. In this work, we present an analytical study of this experiment by determining the evolution of an atom's wave function along the three-grating Mach-Zehnder interferometer under the assumption that the atom is hit by a photon after passing through the first grating. The consideration of a transverse wave function in momentum representation is essential in this study. As is shown, the number of atoms transmitted through the third grating is given by a simple periodic function of the lateral shift along this grating, both in the absence and in the presence of photon scattering. Moreover, the relative contrast (laser on/laser off) is shown to be a simple analytical function of the ratio d(p)/lambda(i), where d(p) is the distance between atomic paths at the scattering locus and lambda(i) the scattered photon wavelength. We argue that this dependence, being in agreement with experimental results, can be considered as showing compatibility between the wave and corpuscle properties of atoms.",
journal = "Physica Scripta",
title = "Evolution of the wave function of an atom hit by a photon in a three-grating interferometer",
doi = "10.1088/0031-8949/2009/135/014025"
}

Arsenović, D., Božić, M., Sanz, A. S.,& Davidović, M.. (2009). Evolution of the wave function of an atom hit by a photon in a three-grating interferometer. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2009/135/014025

Arsenović D, Božić M, Sanz AS, Davidović M. Evolution of the wave function of an atom hit by a photon in a three-grating interferometer. in Physica Scripta. 2009;.
doi:10.1088/0031-8949/2009/135/014025 .

Arsenović, Dušan, Božić, Mirjana, Sanz, Angel S., Davidović, Milena, "Evolution of the wave function of an atom hit by a photon in a three-grating interferometer" in Physica Scripta (2009),
https://doi.org/10.1088/0031-8949/2009/135/014025 . .

TY  - JOUR
AU  - Davidović, Ljubica D.
AU  - Arsenović, Dušan
AU  - Davidović, Milena
AU  - Davidović, Dragomir M.
PY  - 2009
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/269
AB  - Using the resolution of identity spanned by coherent states of the harmonic oscillator, any entire function of the creation and the annihilation operators and its action on a vector in Hilbert space can be defined directly and simply. We show that such a direct approach applied to non-entire functions ln (a) over cap and ln (a) over cap (dagger), present in the literature, may lead to errors and contradictions. We elucidate their roots and propose a way to avoid them. We discuss the obtained results.
T2  - Journal of Physics A-Mathematical and Theoretical
T1  - Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them
IS  - 23
VL  - 42
DO  - 10.1088/1751-8113/42/23/235302
ER  - 

@article{
author = "Davidović, Ljubica D. and Arsenović, Dušan and Davidović, Milena and Davidović, Dragomir M.",
year = "2009",
abstract = "Using the resolution of identity spanned by coherent states of the harmonic oscillator, any entire function of the creation and the annihilation operators and its action on a vector in Hilbert space can be defined directly and simply. We show that such a direct approach applied to non-entire functions ln (a) over cap and ln (a) over cap (dagger), present in the literature, may lead to errors and contradictions. We elucidate their roots and propose a way to avoid them. We discuss the obtained results.",
journal = "Journal of Physics A-Mathematical and Theoretical",
title = "Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them",
number = "23",
volume = "42",
doi = "10.1088/1751-8113/42/23/235302"
}

Davidović, L. D., Arsenović, D., Davidović, M.,& Davidović, D. M.. (2009). Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them. in Journal of Physics A-Mathematical and Theoretical, 42(23).
https://doi.org/10.1088/1751-8113/42/23/235302

Davidović LD, Arsenović D, Davidović M, Davidović DM. Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them. in Journal of Physics A-Mathematical and Theoretical. 2009;42(23).
doi:10.1088/1751-8113/42/23/235302 .

Davidović, Ljubica D., Arsenović, Dušan, Davidović, Milena, Davidović, Dragomir M., "Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them" in Journal of Physics A-Mathematical and Theoretical, 42, no. 23 (2009),
https://doi.org/10.1088/1751-8113/42/23/235302 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Arsenović, Dušan
AU  - Božić, Mirjana
AU  - Miret-Artes, Salvador
PY  - 2009
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/221
AB  - Motivated by recent experiments where interference patterns behind a grating are obtained by accumulating single photon events, we provide here an electromagnetic energy flow-line description to explain the emergence of such patterns. We find and discuss an analogy between the equation describing these energy flow lines and the equation of Bohmian trajectories used to describe the motion of massive particles.
T2  - Physica Scripta
T1  - Electromagnetic energy flow lines as possible paths of photons
DO  - 10.1088/0031-8949/2009/T135/014009
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Arsenović, Dušan and Božić, Mirjana and Miret-Artes, Salvador",
year = "2009",
abstract = "Motivated by recent experiments where interference patterns behind a grating are obtained by accumulating single photon events, we provide here an electromagnetic energy flow-line description to explain the emergence of such patterns. We find and discuss an analogy between the equation describing these energy flow lines and the equation of Bohmian trajectories used to describe the motion of massive particles.",
journal = "Physica Scripta",
title = "Electromagnetic energy flow lines as possible paths of photons",
doi = "10.1088/0031-8949/2009/T135/014009"
}

Davidović, M., Sanz, A. S., Arsenović, D., Božić, M.,& Miret-Artes, S.. (2009). Electromagnetic energy flow lines as possible paths of photons. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2009/T135/014009

Davidović M, Sanz AS, Arsenović D, Božić M, Miret-Artes S. Electromagnetic energy flow lines as possible paths of photons. in Physica Scripta. 2009;.
doi:10.1088/0031-8949/2009/T135/014009 .

Davidović, Milena, Sanz, Angel S., Arsenović, Dušan, Božić, Mirjana, Miret-Artes, Salvador, "Electromagnetic energy flow lines as possible paths of photons" in Physica Scripta (2009),
https://doi.org/10.1088/0031-8949/2009/T135/014009 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Arsenović, Dušan
AU  - Božić, Mirjana
AU  - Sanz, Angel S.
AU  - Miret-Artes, Salvador
PY  - 2008
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/187
AB  - The momentum distributions associated with both the wave function of a particle behind a grating and the corresponding Bohmian trajectories are investigated and compared. Near the grating, it is observed that the former does not depend on the distance from the grating, while the latter changes with this distance. However, as one moves further apart from the grating, in the far field, both distributions become identical.
T2  - European Physical Journal-Special Topics
T1  - Should particle trajectories comply with the transverse momentum distribution?
EP  - 104
SP  - 95
VL  - 160
DO  - 10.1140/epjst/e2008-00713-0
ER  - 

@article{
author = "Davidović, Milena and Arsenović, Dušan and Božić, Mirjana and Sanz, Angel S. and Miret-Artes, Salvador",
year = "2008",
abstract = "The momentum distributions associated with both the wave function of a particle behind a grating and the corresponding Bohmian trajectories are investigated and compared. Near the grating, it is observed that the former does not depend on the distance from the grating, while the latter changes with this distance. However, as one moves further apart from the grating, in the far field, both distributions become identical.",
journal = "European Physical Journal-Special Topics",
title = "Should particle trajectories comply with the transverse momentum distribution?",
pages = "104-95",
volume = "160",
doi = "10.1140/epjst/e2008-00713-0"
}

Davidović, M., Arsenović, D., Božić, M., Sanz, A. S.,& Miret-Artes, S.. (2008). Should particle trajectories comply with the transverse momentum distribution?. in European Physical Journal-Special Topics, 160, 95-104.
https://doi.org/10.1140/epjst/e2008-00713-0

Davidović M, Arsenović D, Božić M, Sanz AS, Miret-Artes S. Should particle trajectories comply with the transverse momentum distribution?. in European Physical Journal-Special Topics. 2008;160:95-104.
doi:10.1140/epjst/e2008-00713-0 .

Davidović, Milena, Arsenović, Dušan, Božić, Mirjana, Sanz, Angel S., Miret-Artes, Salvador, "Should particle trajectories comply with the transverse momentum distribution?" in European Physical Journal-Special Topics, 160 (2008):95-104,
https://doi.org/10.1140/epjst/e2008-00713-0 . .

TY  - JOUR
AU  - Vukanić, Jovan
AU  - Davidović, Milena
AU  - Arsenović, Dušan
AU  - Davidović, Dragomir M.
PY  - 2006
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/137
AB  - The results obtained in a Monte Carlo simulation of X-ray reflection from water show that for energies up to 20 keV, single and double reflected photons absolutely dominate. Analyzing in detail geometry of the collisions and corresponding energy relations we derive analytically the energy and angular distributions of reflected photons in double collision approximation. The results of the two approaches are compared and discussed.
PB  - Elsevier Ltd
T2  - Radiation Physics and Chemistry
T1  - Energy distribution of X-rays reflected from a half space in double collision approximation
EP  - 1955
IS  - 11
SP  - 1953
VL  - 75
DO  - 10.1016/j.radphyschem.2005.07.046
ER  - 

@article{
author = "Vukanić, Jovan and Davidović, Milena and Arsenović, Dušan and Davidović, Dragomir M.",
year = "2006",
abstract = "The results obtained in a Monte Carlo simulation of X-ray reflection from water show that for energies up to 20 keV, single and double reflected photons absolutely dominate. Analyzing in detail geometry of the collisions and corresponding energy relations we derive analytically the energy and angular distributions of reflected photons in double collision approximation. The results of the two approaches are compared and discussed.",
publisher = "Elsevier Ltd",
journal = "Radiation Physics and Chemistry",
title = "Energy distribution of X-rays reflected from a half space in double collision approximation",
pages = "1955-1953",
number = "11",
volume = "75",
doi = "10.1016/j.radphyschem.2005.07.046"
}

Vukanić, J., Davidović, M., Arsenović, D.,& Davidović, D. M.. (2006). Energy distribution of X-rays reflected from a half space in double collision approximation. in Radiation Physics and Chemistry
Elsevier Ltd., 75(11), 1953-1955.
https://doi.org/10.1016/j.radphyschem.2005.07.046

Vukanić J, Davidović M, Arsenović D, Davidović DM. Energy distribution of X-rays reflected from a half space in double collision approximation. in Radiation Physics and Chemistry. 2006;75(11):1953-1955.
doi:10.1016/j.radphyschem.2005.07.046 .

Vukanić, Jovan, Davidović, Milena, Arsenović, Dušan, Davidović, Dragomir M., "Energy distribution of X-rays reflected from a half space in double collision approximation" in Radiation Physics and Chemistry, 75, no. 11 (2006):1953-1955,
https://doi.org/10.1016/j.radphyschem.2005.07.046 . .

TY  - CONF
AU  - Davidović, Milena
AU  - Arsenović, Dušan
AU  - Davidović, Dragomir M.
PY  - 2006
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/124
AB  - On the coherent states vertical bar alpha  gt any entire function of creation and annihilation operators may be defined. We show that it is not the case for non-entire functions. Use of vertical bar alpha alpha vertical bar as identity operator for a non-entire function may lead to contradictory results. On the example of the phase operator we show how these possible contradictions may be avoided. On the coherent states |alpha  gt any entire function of creation and annihilation operators may be defined. We show that it is not the case for non-entire functions. Use of |alpha alpha| as identity operator for a non-entire function may lead to contradictory results. On the example of the phase operator we show how these possible contradictions may be avoided.
PB  - Institute of Physics Publishing
C3  - 12th Central European Workshop On Quantum Optics
T1  - Non-entire functions of creation and annihilation operators and their relation to phase operator
SP  - 46
VL  - 36
DO  - 10.1088/1742-6596/36/1/009
ER  - 

@conference{
author = "Davidović, Milena and Arsenović, Dušan and Davidović, Dragomir M.",
year = "2006",
abstract = "On the coherent states vertical bar alpha  gt any entire function of creation and annihilation operators may be defined. We show that it is not the case for non-entire functions. Use of vertical bar alpha alpha vertical bar as identity operator for a non-entire function may lead to contradictory results. On the example of the phase operator we show how these possible contradictions may be avoided. On the coherent states |alpha  gt any entire function of creation and annihilation operators may be defined. We show that it is not the case for non-entire functions. Use of |alpha alpha| as identity operator for a non-entire function may lead to contradictory results. On the example of the phase operator we show how these possible contradictions may be avoided.",
publisher = "Institute of Physics Publishing",
journal = "12th Central European Workshop On Quantum Optics",
title = "Non-entire functions of creation and annihilation operators and their relation to phase operator",
pages = "46",
volume = "36",
doi = "10.1088/1742-6596/36/1/009"
}

Davidović, M., Arsenović, D.,& Davidović, D. M.. (2006). Non-entire functions of creation and annihilation operators and their relation to phase operator. in 12th Central European Workshop On Quantum Optics
Institute of Physics Publishing., 36, 46.
https://doi.org/10.1088/1742-6596/36/1/009

Davidović M, Arsenović D, Davidović DM. Non-entire functions of creation and annihilation operators and their relation to phase operator. in 12th Central European Workshop On Quantum Optics. 2006;36:46.
doi:10.1088/1742-6596/36/1/009 .

Davidović, Milena, Arsenović, Dušan, Davidović, Dragomir M., "Non-entire functions of creation and annihilation operators and their relation to phase operator" in 12th Central European Workshop On Quantum Optics, 36 (2006):46,
https://doi.org/10.1088/1742-6596/36/1/009 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Božić, Mirjana
AU  - Arsenović, Dušan
PY  - 2006
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/120
AB  - It is shown that the Fourier integral of the function exp(-ux(2)) exists not only for u satisfying Re u  gt 0 but also for u that satisfies Re u >= 0. The proof is given by evaluating this integral for imaginary u.
PB  - Springer Science and Business Media Deutschland GmbH
T2  - Journal of Russian Laser Research
T1  - Evaluation of the fourier transform of e(-ux2) for imaginary U
EP  - 224
IS  - 3
SP  - 220
VL  - 27
DO  - 10.1007/s10946-006-0010-3
ER  - 

@article{
author = "Davidović, Milena and Božić, Mirjana and Arsenović, Dušan",
year = "2006",
abstract = "It is shown that the Fourier integral of the function exp(-ux(2)) exists not only for u satisfying Re u  gt 0 but also for u that satisfies Re u >= 0. The proof is given by evaluating this integral for imaginary u.",
publisher = "Springer Science and Business Media Deutschland GmbH",
journal = "Journal of Russian Laser Research",
title = "Evaluation of the fourier transform of e(-ux2) for imaginary U",
pages = "224-220",
number = "3",
volume = "27",
doi = "10.1007/s10946-006-0010-3"
}

Davidović, M., Božić, M.,& Arsenović, D.. (2006). Evaluation of the fourier transform of e(-ux2) for imaginary U. in Journal of Russian Laser Research
Springer Science and Business Media Deutschland GmbH., 27(3), 220-224.
https://doi.org/10.1007/s10946-006-0010-3

Davidović M, Božić M, Arsenović D. Evaluation of the fourier transform of e(-ux2) for imaginary U. in Journal of Russian Laser Research. 2006;27(3):220-224.
doi:10.1007/s10946-006-0010-3 .

Davidović, Milena, Božić, Mirjana, Arsenović, Dušan, "Evaluation of the fourier transform of e(-ux2) for imaginary U" in Journal of Russian Laser Research, 27, no. 3 (2006):220-224,
https://doi.org/10.1007/s10946-006-0010-3 . .