TY  - JOUR
AU  - Arsenović, Dušan
AU  - Buric, N.
AU  - Davidović, Dragomir M.
AU  - Prvanovic, S.
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5452
AB  - Lagrangian formulation of quantum mechanical Schrodinger equation is developed in general and illustrated in the eigenbasis of the Hamiltonian and in the coordinate representation. The Lagrangian formulation of physically plausible quantum system results in a well defined second order equation on a real vector space. The Klein-Gordon equation for a real field is shown to be the Lagrangian form of the corresponding Schrodinger equation.
T2  - Foundations of Physics
T1  - Lagrangian form of Schrodinger equation
VL  - 44
IS  - 7
SP  - 725
EP  - 735
DO  - 10.1007/s10701-014-9810-4
ER  - 

@article{
author = "Arsenović, Dušan and Buric, N. and Davidović, Dragomir M. and Prvanovic, S.",
year = "2014",
abstract = "Lagrangian formulation of quantum mechanical Schrodinger equation is developed in general and illustrated in the eigenbasis of the Hamiltonian and in the coordinate representation. The Lagrangian formulation of physically plausible quantum system results in a well defined second order equation on a real vector space. The Klein-Gordon equation for a real field is shown to be the Lagrangian form of the corresponding Schrodinger equation.",
journal = "Foundations of Physics",
title = "Lagrangian form of Schrodinger equation",
volume = "44",
number = "7",
pages = "725-735",
doi = "10.1007/s10701-014-9810-4"
}

Arsenović, D., Buric, N., Davidović, D. M.,& Prvanovic, S.. (2014). Lagrangian form of Schrodinger equation. in Foundations of Physics, 44(7), 725-735.
https://doi.org/10.1007/s10701-014-9810-4

Arsenović D, Buric N, Davidović DM, Prvanovic S. Lagrangian form of Schrodinger equation. in Foundations of Physics. 2014;44(7):725-735.
doi:10.1007/s10701-014-9810-4 .

Arsenović, Dušan, Buric, N., Davidović, Dragomir M., Prvanovic, S., "Lagrangian form of Schrodinger equation" in Foundations of Physics, 44, no. 7 (2014):725-735,
https://doi.org/10.1007/s10701-014-9810-4 . .

TY  - JOUR
AU  - Arsenović, Dušan
AU  - Buric, Nikola
AU  - Davidović, Dragomir
AU  - Prvanovic, Slobodan
PY  - 2013
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5633
AB  - Positive operator valued measures representing phase observables for systems with arbitrary discrete, possibly degenerate, spectra are constructed. The general construction is presented and discussed using illustrative examples. The phase POVM shows intricate discontinuous dependence on the eigenfrequencies. Special discussion is devoted to the systems with degenerate energy spectrum, in which case the phase observable is nonunique. We present arguments that can be used to reduces this nonuniqueness.
T2  - Physical Review A
T1  - Quantum phase for a system with an arbitrary discrete energy spectrum
VL  - 88
IS  - 2
DO  - 10.1103/PhysRevA.88.022117
ER  - 

@article{
author = "Arsenović, Dušan and Buric, Nikola and Davidović, Dragomir and Prvanovic, Slobodan",
year = "2013",
abstract = "Positive operator valued measures representing phase observables for systems with arbitrary discrete, possibly degenerate, spectra are constructed. The general construction is presented and discussed using illustrative examples. The phase POVM shows intricate discontinuous dependence on the eigenfrequencies. Special discussion is devoted to the systems with degenerate energy spectrum, in which case the phase observable is nonunique. We present arguments that can be used to reduces this nonuniqueness.",
journal = "Physical Review A",
title = "Quantum phase for a system with an arbitrary discrete energy spectrum",
volume = "88",
number = "2",
doi = "10.1103/PhysRevA.88.022117"
}

Arsenović, D., Buric, N., Davidović, D.,& Prvanovic, S.. (2013). Quantum phase for a system with an arbitrary discrete energy spectrum. in Physical Review A, 88(2).
https://doi.org/10.1103/PhysRevA.88.022117

Arsenović D, Buric N, Davidović D, Prvanovic S. Quantum phase for a system with an arbitrary discrete energy spectrum. in Physical Review A. 2013;88(2).
doi:10.1103/PhysRevA.88.022117 .

Arsenović, Dušan, Buric, Nikola, Davidović, Dragomir, Prvanovic, Slobodan, "Quantum phase for a system with an arbitrary discrete energy spectrum" in Physical Review A, 88, no. 2 (2013),
https://doi.org/10.1103/PhysRevA.88.022117 . .

TY  - JOUR
AU  - Arsenović, Dušan
AU  - Buric, Nikola
AU  - Davidovic, Dragomir
AU  - Prvanovic, Slobodan
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4958
AB  - Properties of an operator representing the dynamical time in the extended parameterization invariant formulation of quantum mechanics are studied. It is shown that this time operator is given by a positive operator measure analogously to the quantities that are known to represent various measurable time operators. The relation between the dynamical time of the extended formulation and the best known example of the system time operator, i.e., for the free one-dimensional particle, is obtained.
T2  - Chinese Physics B
T1  - Dynamical time versus system time in quantum mechanics
VL  - 21
IS  - 7
DO  - 10.1088/1674-1056/21/7/070302
ER  - 

@article{
author = "Arsenović, Dušan and Buric, Nikola and Davidovic, Dragomir and Prvanovic, Slobodan",
year = "2012",
abstract = "Properties of an operator representing the dynamical time in the extended parameterization invariant formulation of quantum mechanics are studied. It is shown that this time operator is given by a positive operator measure analogously to the quantities that are known to represent various measurable time operators. The relation between the dynamical time of the extended formulation and the best known example of the system time operator, i.e., for the free one-dimensional particle, is obtained.",
journal = "Chinese Physics B",
title = "Dynamical time versus system time in quantum mechanics",
volume = "21",
number = "7",
doi = "10.1088/1674-1056/21/7/070302"
}

Arsenović, D., Buric, N., Davidovic, D.,& Prvanovic, S.. (2012). Dynamical time versus system time in quantum mechanics. in Chinese Physics B, 21(7).
https://doi.org/10.1088/1674-1056/21/7/070302

Arsenović D, Buric N, Davidovic D, Prvanovic S. Dynamical time versus system time in quantum mechanics. in Chinese Physics B. 2012;21(7).
doi:10.1088/1674-1056/21/7/070302 .

Arsenović, Dušan, Buric, Nikola, Davidovic, Dragomir, Prvanovic, Slobodan, "Dynamical time versus system time in quantum mechanics" in Chinese Physics B, 21, no. 7 (2012),
https://doi.org/10.1088/1674-1056/21/7/070302 . .

TY  - JOUR
AU  - Arsenović, Dušan
AU  - Buric, Nikola
AU  - Davidović, Dragomir
AU  - Prvanovic, Slobodan
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4815
AB  - A representation of the phase observable in terms of a positive-operator-valued measure for an arbitrary quantum system with a finite Hilbert space is consistently defined. The phase for systems with rational relations between the energy eigenvalue differences is treated explicitly and the phase in the case of the irrational relations is obtained as a well-defined limit of the rational approximations.
T2  - Physical Review A
T1  - Quantum phase for an arbitrary system with finite-dimensional Hilbert space
VL  - 85
IS  - 4
DO  - 10.1103/PhysRevA.85.044103
ER  - 

@article{
author = "Arsenović, Dušan and Buric, Nikola and Davidović, Dragomir and Prvanovic, Slobodan",
year = "2012",
abstract = "A representation of the phase observable in terms of a positive-operator-valued measure for an arbitrary quantum system with a finite Hilbert space is consistently defined. The phase for systems with rational relations between the energy eigenvalue differences is treated explicitly and the phase in the case of the irrational relations is obtained as a well-defined limit of the rational approximations.",
journal = "Physical Review A",
title = "Quantum phase for an arbitrary system with finite-dimensional Hilbert space",
volume = "85",
number = "4",
doi = "10.1103/PhysRevA.85.044103"
}

Arsenović, D., Buric, N., Davidović, D.,& Prvanovic, S.. (2012). Quantum phase for an arbitrary system with finite-dimensional Hilbert space. in Physical Review A, 85(4).
https://doi.org/10.1103/PhysRevA.85.044103

Arsenović D, Buric N, Davidović D, Prvanovic S. Quantum phase for an arbitrary system with finite-dimensional Hilbert space. in Physical Review A. 2012;85(4).
doi:10.1103/PhysRevA.85.044103 .

Arsenović, Dušan, Buric, Nikola, Davidović, Dragomir, Prvanovic, Slobodan, "Quantum phase for an arbitrary system with finite-dimensional Hilbert space" in Physical Review A, 85, no. 4 (2012),
https://doi.org/10.1103/PhysRevA.85.044103 . .

TY  - JOUR
AU  - Arsenović, Dušan
AU  - Buric, N.
AU  - Davidovic, D.
AU  - Prvanovic, S.
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4693
AB  - It is demonstrated that the important common property of operators representing various observable times in quantum mechanics, namely the fact that such an operator is always given by a nonorthogonal resolution of unity, can be obtained from a constraint on the possible physical events, i.e. on the extended space of the Hamiltonian formulation of the parametric dynamics. Operators which could generate meaningful probability distributions for various time measurements are suggested. Copyright (C) EPLA, 2012
T2  - Europhysics Letters / EPL
T1  - Constrained event space and properties of the physical time observable
VL  - 97
IS  - 2
DO  - 10.1209/0295-5075/97/20013
ER  - 

@article{
author = "Arsenović, Dušan and Buric, N. and Davidovic, D. and Prvanovic, S.",
year = "2012",
abstract = "It is demonstrated that the important common property of operators representing various observable times in quantum mechanics, namely the fact that such an operator is always given by a nonorthogonal resolution of unity, can be obtained from a constraint on the possible physical events, i.e. on the extended space of the Hamiltonian formulation of the parametric dynamics. Operators which could generate meaningful probability distributions for various time measurements are suggested. Copyright (C) EPLA, 2012",
journal = "Europhysics Letters / EPL",
title = "Constrained event space and properties of the physical time observable",
volume = "97",
number = "2",
doi = "10.1209/0295-5075/97/20013"
}

Arsenović, D., Buric, N., Davidovic, D.,& Prvanovic, S.. (2012). Constrained event space and properties of the physical time observable. in Europhysics Letters / EPL, 97(2).
https://doi.org/10.1209/0295-5075/97/20013

Arsenović D, Buric N, Davidovic D, Prvanovic S. Constrained event space and properties of the physical time observable. in Europhysics Letters / EPL. 2012;97(2).
doi:10.1209/0295-5075/97/20013 .

Arsenović, Dušan, Buric, N., Davidovic, D., Prvanovic, S., "Constrained event space and properties of the physical time observable" in Europhysics Letters / EPL, 97, no. 2 (2012),
https://doi.org/10.1209/0295-5075/97/20013 . .

TY  - JOUR
AU  - Davidović, Ljubica
AU  - Arsenović, Dušan
AU  - Davidović, Milena D.
AU  - Davidović, Dragomir M.
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3706
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
VL  - 42
IS  - 23
DO  - 10.1088/1751-8113/42/23/235302
ER  - 

@article{
author = "Davidović, Ljubica and Arsenović, Dušan and Davidović, Milena D. 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",
volume = "42",
number = "23",
doi = "10.1088/1751-8113/42/23/235302"
}

Davidović, L., Arsenović, D., Davidović, M. D.,& 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 L, Arsenović D, Davidović MD, 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, Arsenović, Dušan, Davidović, Milena D., 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, Dragomir A.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2008
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3370
AB  - The Chandrasekhars H functions play a central role in theoretical descriptions of radiative transfer in planetary and stellar atmospheres. In the present work our aim is to obtain in a simple way new analytic approximations of the Chandrasekhars function for isotropic scattering, which would be sufficiently simple but more accurate than the existing approximations. We apply the mean value theorem for definite integrals in the nonlinear integral equation for the Chandrasekhars H function. In this way the integral equation is formally solved but the solution depends on a new unknown parameter. We determine this parameter approximately, from the condition that the obtained H function matches the zero-order moment of the H function, which is known exactly, as accurately as possible in the whole range of the single particle albedo. The result gives our first analytic approximation for the H function. Using it as a starting approximation in the corresponding integral equation, after only one iteration which may be performed analytically, we obtain our second analytic approximation. The maximum relative error of our first analytic. approximation, which is very simple in structure, is below 2.5%. The accuracy of our second approximation is within 0.07%, so that it highly surpasses the accuracy of the other analytic approximations available in the literature. (c) 2007 Elsevier Inc. All rights reserved.
T2  - Icarus
T1  - Two new analytic approximations of the Chandrasekhars H function for isotropic scattering
VL  - 194
IS  - 1
SP  - 389
EP  - 397
DO  - 10.1016/j.icarus.2007.09.024
ER  - 

@article{
author = "Davidović, Dragomir A. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2008",
abstract = "The Chandrasekhars H functions play a central role in theoretical descriptions of radiative transfer in planetary and stellar atmospheres. In the present work our aim is to obtain in a simple way new analytic approximations of the Chandrasekhars function for isotropic scattering, which would be sufficiently simple but more accurate than the existing approximations. We apply the mean value theorem for definite integrals in the nonlinear integral equation for the Chandrasekhars H function. In this way the integral equation is formally solved but the solution depends on a new unknown parameter. We determine this parameter approximately, from the condition that the obtained H function matches the zero-order moment of the H function, which is known exactly, as accurately as possible in the whole range of the single particle albedo. The result gives our first analytic approximation for the H function. Using it as a starting approximation in the corresponding integral equation, after only one iteration which may be performed analytically, we obtain our second analytic approximation. The maximum relative error of our first analytic. approximation, which is very simple in structure, is below 2.5%. The accuracy of our second approximation is within 0.07%, so that it highly surpasses the accuracy of the other analytic approximations available in the literature. (c) 2007 Elsevier Inc. All rights reserved.",
journal = "Icarus",
title = "Two new analytic approximations of the Chandrasekhars H function for isotropic scattering",
volume = "194",
number = "1",
pages = "389-397",
doi = "10.1016/j.icarus.2007.09.024"
}

Davidović, D. A., Vukanić, J. V.,& Arsenović, D.. (2008). Two new analytic approximations of the Chandrasekhars H function for isotropic scattering. in Icarus, 194(1), 389-397.
https://doi.org/10.1016/j.icarus.2007.09.024

Davidović DA, Vukanić JV, Arsenović D. Two new analytic approximations of the Chandrasekhars H function for isotropic scattering. in Icarus. 2008;194(1):389-397.
doi:10.1016/j.icarus.2007.09.024 .

Davidović, Dragomir A., Vukanić, Jovan V., Arsenović, Dušan, "Two new analytic approximations of the Chandrasekhars H function for isotropic scattering" in Icarus, 194, no. 1 (2008):389-397,
https://doi.org/10.1016/j.icarus.2007.09.024 . .

TY  - CONF
AU  - Davidović, Dragomir
AU  - Vukanić, Jovan
AU  - Arsenović, Dušan
AU  - Stanković, Srboljub
PY  - 2007
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/12262
AB  - Analizirani su uslovi pod kojima se prolazak i refleksija rendgenskih zraka, korišćenih u industriji i medicni, mogu uz visoku tačnost tretirati kao transport čestica koje se mnogostruko rasejavaju, i to izotropno i bez gubitaka energije. Na jednostavan i fizički pregledan način izvedena je integralna jednačina koja opisuje refleksiju za taj slučaj, razjašnjen fizički smisao njenih pojedinih članova, kao i njena rešenja. Navedene su činjenice koje potvrđuju ovakav model transporta.
AB  - Conditions under which the penetration and reflections of Roentgen rays, used in industry and medical physics, can be treated with a high accuracy as a monoenergetic, multiple collision type of particle beam transport with isotropic scattering, are analysed. In a simple an physicaly transparent way the transport equation describing the reflection of Xrays, for this case, has been derived and the physical meaning of the separate terms of the equation have been discussed. The facts which confirm this physical picture are supplied.
PB  - Beograd : Institut za nuklearne nauke "Vinča" : Društvo za zaštitu od zračenja Srbije i Crne Gore
C3  - 24. simpozijum DZZSCG : zbornik radova
T1  - Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini
T1  - A theory of the reflection of roentgen rays used in industry and medical physics
SP  - 239
EP  - 243
UR  - https://hdl.handle.net/21.15107/rcub_vinar_12262
ER  - 

@conference{
author = "Davidović, Dragomir and Vukanić, Jovan and Arsenović, Dušan and Stanković, Srboljub",
year = "2007",
abstract = "Analizirani su uslovi pod kojima se prolazak i refleksija rendgenskih zraka, korišćenih u industriji i medicni, mogu uz visoku tačnost tretirati kao transport čestica koje se mnogostruko rasejavaju, i to izotropno i bez gubitaka energije. Na jednostavan i fizički pregledan način izvedena je integralna jednačina koja opisuje refleksiju za taj slučaj, razjašnjen fizički smisao njenih pojedinih članova, kao i njena rešenja. Navedene su činjenice koje potvrđuju ovakav model transporta., Conditions under which the penetration and reflections of Roentgen rays, used in industry and medical physics, can be treated with a high accuracy as a monoenergetic, multiple collision type of particle beam transport with isotropic scattering, are analysed. In a simple an physicaly transparent way the transport equation describing the reflection of Xrays, for this case, has been derived and the physical meaning of the separate terms of the equation have been discussed. The facts which confirm this physical picture are supplied.",
publisher = "Beograd : Institut za nuklearne nauke "Vinča" : Društvo za zaštitu od zračenja Srbije i Crne Gore",
journal = "24. simpozijum DZZSCG : zbornik radova",
title = "Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini, A theory of the reflection of roentgen rays used in industry and medical physics",
pages = "239-243",
url = "https://hdl.handle.net/21.15107/rcub_vinar_12262"
}

Davidović, D., Vukanić, J., Arsenović, D.,& Stanković, S.. (2007). Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini. in 24. simpozijum DZZSCG : zbornik radova
Beograd : Institut za nuklearne nauke "Vinča" : Društvo za zaštitu od zračenja Srbije i Crne Gore., 239-243.
https://hdl.handle.net/21.15107/rcub_vinar_12262

Davidović D, Vukanić J, Arsenović D, Stanković S. Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini. in 24. simpozijum DZZSCG : zbornik radova. 2007;:239-243.
https://hdl.handle.net/21.15107/rcub_vinar_12262 .

Davidović, Dragomir, Vukanić, Jovan, Arsenović, Dušan, Stanković, Srboljub, "Teorija refleksije rendgenskih zraka korišćenih u industriji i medicini" in 24. simpozijum DZZSCG : zbornik radova (2007):239-243,
https://hdl.handle.net/21.15107/rcub_vinar_12262 .

TY  - CONF
AU  - Davidović, Milena D.
AU  - Arsenović, Dušan
AU  - Davidović, Dragomir M.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6620
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 GT LT 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 GT LT 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.
C3  - Journal of Physics: Conference Series
T1  - Non-entire functions of creation and annihilation operators and their relation to phase operator
VL  - 36
SP  - 46
EP  - +
DO  - 10.1088/1742-6596/36/1/009
ER  - 

@conference{
author = "Davidović, Milena D. 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 GT LT 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 GT LT 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.",
journal = "Journal of Physics: Conference Series",
title = "Non-entire functions of creation and annihilation operators and their relation to phase operator",
volume = "36",
pages = "46-+",
doi = "10.1088/1742-6596/36/1/009"
}

Davidović, M. D., Arsenović, D.,& Davidović, D. M.. (2006). Non-entire functions of creation and annihilation operators and their relation to phase operator. in Journal of Physics: Conference Series, 36, 46-+.
https://doi.org/10.1088/1742-6596/36/1/009

Davidović MD, Arsenović D, Davidović DM. Non-entire functions of creation and annihilation operators and their relation to phase operator. in Journal of Physics: Conference Series. 2006;36:46-+.
doi:10.1088/1742-6596/36/1/009 .

Davidović, Milena D., Arsenović, Dušan, Davidović, Dragomir M., "Non-entire functions of creation and annihilation operators and their relation to phase operator" in Journal of Physics: Conference Series, 36 (2006):46-+,
https://doi.org/10.1088/1742-6596/36/1/009 . .

TY  - CONF
AU  - Vukanić, Jovan V.
AU  - Davidović, Milena D.
AU  - Arsenović, Dušan
AU  - Davidović, Dragomir M.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6635
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. (c) 2006 Elsevier Ltd. All rights reserved.
C3  - Radiation Physics and Chemistry
T1  - Energy distribution of X-rays reflected from a half space in double collision approximation
VL  - 75
IS  - 11
SP  - 1953
EP  - 1955
DO  - 10.1016/j.radphyschem.2005.07.046
ER  - 

@conference{
author = "Vukanić, Jovan V. and Davidović, Milena D. 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. (c) 2006 Elsevier Ltd. All rights reserved.",
journal = "Radiation Physics and Chemistry",
title = "Energy distribution of X-rays reflected from a half space in double collision approximation",
volume = "75",
number = "11",
pages = "1953-1955",
doi = "10.1016/j.radphyschem.2005.07.046"
}

Vukanić, J. V., Davidović, M. D., 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, 75(11), 1953-1955.
https://doi.org/10.1016/j.radphyschem.2005.07.046

Vukanić JV, Davidović MD, 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 V., Davidović, Milena D., 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  - Arsenović, Dušan
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6634
AB  - A Monte Carlo-based program for treatment of photon transport, restricted to photon energies used in medical diagnostics, is developed. Only the photoabsorption and Compton scattering of photons are taken into account, a justifiable assumption for the energies involved. We can simply separate contributions of reflection events with one, two, three, or more successive collisions of X-rays with electrons of the target. This gives us insights and information about photon transport which otherwise would be inaccessible. (c) 2006 Elsevier Ltd. All rights reserved.
C3  - Radiation Physics and Chemistry
T1  - A simple Monte Carlo program for simulation of X-ray transport
VL  - 75
IS  - 11
SP  - 1727
EP  - 1729
DO  - 10.1016/j.radphyschem.2005.07.031
ER  - 

@conference{
author = "Arsenović, Dušan and Davidović, Dragomir M. and Vukanić, Jovan V.",
year = "2006",
abstract = "A Monte Carlo-based program for treatment of photon transport, restricted to photon energies used in medical diagnostics, is developed. Only the photoabsorption and Compton scattering of photons are taken into account, a justifiable assumption for the energies involved. We can simply separate contributions of reflection events with one, two, three, or more successive collisions of X-rays with electrons of the target. This gives us insights and information about photon transport which otherwise would be inaccessible. (c) 2006 Elsevier Ltd. All rights reserved.",
journal = "Radiation Physics and Chemistry",
title = "A simple Monte Carlo program for simulation of X-ray transport",
volume = "75",
number = "11",
pages = "1727-1729",
doi = "10.1016/j.radphyschem.2005.07.031"
}

Arsenović, D., Davidović, D. M.,& Vukanić, J. V.. (2006). A simple Monte Carlo program for simulation of X-ray transport. in Radiation Physics and Chemistry, 75(11), 1727-1729.
https://doi.org/10.1016/j.radphyschem.2005.07.031

Arsenović D, Davidović DM, Vukanić JV. A simple Monte Carlo program for simulation of X-ray transport. in Radiation Physics and Chemistry. 2006;75(11):1727-1729.
doi:10.1016/j.radphyschem.2005.07.031 .

Arsenović, Dušan, Davidović, Dragomir M., Vukanić, Jovan V., "A simple Monte Carlo program for simulation of X-ray transport" in Radiation Physics and Chemistry, 75, no. 11 (2006):1727-1729,
https://doi.org/10.1016/j.radphyschem.2005.07.031 . .

TY  - JOUR
AU  - Popov, D.
AU  - Davidović, Dragomir M.
AU  - Arsenović, Dušan
AU  - Sajfert, V.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3043
AB  - Using the Klauder-Perelomov coherent states of the pseudoharmonic oscillator Hamiltonian, corresponding diagonal P-representation for the density matrix of the gas of pseudoharmonic oscillators in thermal equilibrium is constructed. With a help of this new result, some corresponding characteristic thermal expectation values are obtained.
T2  - Acta Physica Slovaca
T1  - P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states
VL  - 56
IS  - 4
SP  - 445
EP  - 453
UR  - https://hdl.handle.net/21.15107/rcub_vinar_3043
ER  - 

@article{
author = "Popov, D. and Davidović, Dragomir M. and Arsenović, Dušan and Sajfert, V.",
year = "2006",
abstract = "Using the Klauder-Perelomov coherent states of the pseudoharmonic oscillator Hamiltonian, corresponding diagonal P-representation for the density matrix of the gas of pseudoharmonic oscillators in thermal equilibrium is constructed. With a help of this new result, some corresponding characteristic thermal expectation values are obtained.",
journal = "Acta Physica Slovaca",
title = "P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states",
volume = "56",
number = "4",
pages = "445-453",
url = "https://hdl.handle.net/21.15107/rcub_vinar_3043"
}

Popov, D., Davidović, D. M., Arsenović, D.,& Sajfert, V.. (2006). P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states. in Acta Physica Slovaca, 56(4), 445-453.
https://hdl.handle.net/21.15107/rcub_vinar_3043

Popov D, Davidović DM, Arsenović D, Sajfert V. P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states. in Acta Physica Slovaca. 2006;56(4):445-453.
https://hdl.handle.net/21.15107/rcub_vinar_3043 .

Popov, D., Davidović, Dragomir M., Arsenović, Dušan, Sajfert, V., "P-function of the pseudoharmonic oscillator in terms of Klauder-Perelomov coherent states" in Acta Physica Slovaca, 56, no. 4 (2006):445-453,
https://hdl.handle.net/21.15107/rcub_vinar_3043 .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2004
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2803
AB  - The reflection of x-rays from a semi-infinite water target, for energies ranging from 10 to 60 keV, often used in x-ray diagnostics, is investigated by Monte Carlo simulation. The same process was also treated analytically as the classical albedo problem for isotropic scattering without energy loss. Good agreement of results for the angular distribution of reflected photons of the two approaches is obtained for higher photon energies from the energy range considered. Multiple collision scattering dominates at higher energies, leading to isotropization of the photon distribution. Discrepancies between the isotropic scattering model and Monte Carlo results appear at the lower part of the energy range. Monte Carlo results show that at these energies photon reflection is governed mainly by single collisions and that these discrepancies are caused by anisotropy of the distribution of single backscattered photons. It is shown that the inclusion of the anisotropy of single Compton backscattering in the analytical model greatly improves the agreement with Monte Carlo results.
T2  - Journal of Physics. D: Applied Physics
T1  - Influence of anisotropy of Compton scattering on low energy x-ray reflection
VL  - 37
IS  - 16
SP  - 2314
EP  - 2317
DO  - 10.1088/0022-3727/37/16/014
ER  - 

@article{
author = "Davidović, Dragomir M. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2004",
abstract = "The reflection of x-rays from a semi-infinite water target, for energies ranging from 10 to 60 keV, often used in x-ray diagnostics, is investigated by Monte Carlo simulation. The same process was also treated analytically as the classical albedo problem for isotropic scattering without energy loss. Good agreement of results for the angular distribution of reflected photons of the two approaches is obtained for higher photon energies from the energy range considered. Multiple collision scattering dominates at higher energies, leading to isotropization of the photon distribution. Discrepancies between the isotropic scattering model and Monte Carlo results appear at the lower part of the energy range. Monte Carlo results show that at these energies photon reflection is governed mainly by single collisions and that these discrepancies are caused by anisotropy of the distribution of single backscattered photons. It is shown that the inclusion of the anisotropy of single Compton backscattering in the analytical model greatly improves the agreement with Monte Carlo results.",
journal = "Journal of Physics. D: Applied Physics",
title = "Influence of anisotropy of Compton scattering on low energy x-ray reflection",
volume = "37",
number = "16",
pages = "2314-2317",
doi = "10.1088/0022-3727/37/16/014"
}

Davidović, D. M., Vukanić, J. V.,& Arsenović, D.. (2004). Influence of anisotropy of Compton scattering on low energy x-ray reflection. in Journal of Physics. D: Applied Physics, 37(16), 2314-2317.
https://doi.org/10.1088/0022-3727/37/16/014

Davidović DM, Vukanić JV, Arsenović D. Influence of anisotropy of Compton scattering on low energy x-ray reflection. in Journal of Physics. D: Applied Physics. 2004;37(16):2314-2317.
doi:10.1088/0022-3727/37/16/014 .

Davidović, Dragomir M., Vukanić, Jovan V., Arsenović, Dušan, "Influence of anisotropy of Compton scattering on low energy x-ray reflection" in Journal of Physics. D: Applied Physics, 37, no. 16 (2004):2314-2317,
https://doi.org/10.1088/0022-3727/37/16/014 . .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2659
AB  - The reflection of x-rays from a half space is studied within the framework of a model that assumes multiple isotropic scattering of photons without energy loss. An exactly solvable analytical expression for the angular distribution of reflected photons is derived. The range of validity of the model was determined by the Monte Carlo simulation thereby incorporating energy loss and angular dependences. For water as a scatterer, in the energy range from 10 to 60 keV, which is often used in x-ray diagnostics, the two approaches differ by at most 5%. The analytic results, confirmed by the Monte Carlo simulation, show that the angular distribution of reflected photons for energies greater than 30 keV-where multiple scattering events dominate-may be represented by a cosine law, within a few per cent of accuracy.
T2  - Physics in Medicine and Biology
T1  - Simplified model of low energy x-ray backscattering
VL  - 48
IS  - 15
SP  - N213
EP  - N221
DO  - 10.1088/0031-9155/48/15/402
ER  - 

@article{
author = "Davidović, Dragomir M. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2003",
abstract = "The reflection of x-rays from a half space is studied within the framework of a model that assumes multiple isotropic scattering of photons without energy loss. An exactly solvable analytical expression for the angular distribution of reflected photons is derived. The range of validity of the model was determined by the Monte Carlo simulation thereby incorporating energy loss and angular dependences. For water as a scatterer, in the energy range from 10 to 60 keV, which is often used in x-ray diagnostics, the two approaches differ by at most 5%. The analytic results, confirmed by the Monte Carlo simulation, show that the angular distribution of reflected photons for energies greater than 30 keV-where multiple scattering events dominate-may be represented by a cosine law, within a few per cent of accuracy.",
journal = "Physics in Medicine and Biology",
title = "Simplified model of low energy x-ray backscattering",
volume = "48",
number = "15",
pages = "N213-N221",
doi = "10.1088/0031-9155/48/15/402"
}

Davidović, D. M., Vukanić, J. V.,& Arsenović, D.. (2003). Simplified model of low energy x-ray backscattering. in Physics in Medicine and Biology, 48(15), N213-N221.
https://doi.org/10.1088/0031-9155/48/15/402

Davidović DM, Vukanić JV, Arsenović D. Simplified model of low energy x-ray backscattering. in Physics in Medicine and Biology. 2003;48(15):N213-N221.
doi:10.1088/0031-9155/48/15/402 .

Davidović, Dragomir M., Vukanić, Jovan V., Arsenović, Dušan, "Simplified model of low energy x-ray backscattering" in Physics in Medicine and Biology, 48, no. 15 (2003):N213-N221,
https://doi.org/10.1088/0031-9155/48/15/402 . .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Arsenović, Dušan
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6359
AB  - Starting from a complete but not overcomplete set of coherent states defined on a lattice in the phase space, we construct the orthonormal basis using the procedure due to Lodwin, in which all states to be normalized enter the procedure on equal footing. We show that our normalized states may be interpreted as eigenstates of the operator of simultaneous unsharp measurement of coordinate and momentum. In a sense we followed the classical idea of von Neumann but without drawbacks which in his construction of such an operator were due to the use of the Gram-Schmidt orthonormalization procedure which is somewhat inappropriate for this purpose. We discuss the obtained results.
T2  - Fortschritte der Physik = Progress of Physics
T1  - An operator for simultaneous unsharp measurement of coordinate and momentum
VL  - 51
IS  - 2-3
SP  - 92
EP  - 95
DO  - 10.1002/prop.200310008
ER  - 

@article{
author = "Davidović, Dragomir M. and Arsenović, Dušan",
year = "2003",
abstract = "Starting from a complete but not overcomplete set of coherent states defined on a lattice in the phase space, we construct the orthonormal basis using the procedure due to Lodwin, in which all states to be normalized enter the procedure on equal footing. We show that our normalized states may be interpreted as eigenstates of the operator of simultaneous unsharp measurement of coordinate and momentum. In a sense we followed the classical idea of von Neumann but without drawbacks which in his construction of such an operator were due to the use of the Gram-Schmidt orthonormalization procedure which is somewhat inappropriate for this purpose. We discuss the obtained results.",
journal = "Fortschritte der Physik = Progress of Physics",
title = "An operator for simultaneous unsharp measurement of coordinate and momentum",
volume = "51",
number = "2-3",
pages = "92-95",
doi = "10.1002/prop.200310008"
}

Davidović, D. M.,& Arsenović, D.. (2003). An operator for simultaneous unsharp measurement of coordinate and momentum. in Fortschritte der Physik = Progress of Physics, 51(2-3), 92-95.
https://doi.org/10.1002/prop.200310008

Davidović DM, Arsenović D. An operator for simultaneous unsharp measurement of coordinate and momentum. in Fortschritte der Physik = Progress of Physics. 2003;51(2-3):92-95.
doi:10.1002/prop.200310008 .

Davidović, Dragomir M., Arsenović, Dušan, "An operator for simultaneous unsharp measurement of coordinate and momentum" in Fortschritte der Physik = Progress of Physics, 51, no. 2-3 (2003):92-95,
https://doi.org/10.1002/prop.200310008 . .

TY  - CONF
AU  - Davidović, Dragomir M.
AU  - Vukanić, Jovan V.
AU  - Arsenović, Dušan
PY  - 2002
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6397
AB  - Without greater investments, the improvement of radiation protection and decrease of irradiation of medical workers as well as patients in X-ray diagnostics, may be achieved only by getting first a deeper insight into X-ray transport and reflection in human body like tissues at energies used in X-ray diagnostics. It is shown that at these energies, with high accuracy, the X-ray transport and reflection may be treated as a classical monoenergetic particle transport with isotropic scattering. This situation allows the analytical treatment, what may have practical implications.
T1  - The character of reflection and transmission of xrays at energies used in radiological diagnostics
SP  - 289
EP  - 292
UR  - https://hdl.handle.net/21.15107/rcub_vinar_6397
ER  - 

@conference{
author = "Davidović, Dragomir M. and Vukanić, Jovan V. and Arsenović, Dušan",
year = "2002",
abstract = "Without greater investments, the improvement of radiation protection and decrease of irradiation of medical workers as well as patients in X-ray diagnostics, may be achieved only by getting first a deeper insight into X-ray transport and reflection in human body like tissues at energies used in X-ray diagnostics. It is shown that at these energies, with high accuracy, the X-ray transport and reflection may be treated as a classical monoenergetic particle transport with isotropic scattering. This situation allows the analytical treatment, what may have practical implications.",
title = "The character of reflection and transmission of xrays at energies used in radiological diagnostics",
pages = "289-292",
url = "https://hdl.handle.net/21.15107/rcub_vinar_6397"
}

Davidović, D. M., Vukanić, J. V.,& Arsenović, D.. (2002). The character of reflection and transmission of xrays at energies used in radiological diagnostics. , 289-292.
https://hdl.handle.net/21.15107/rcub_vinar_6397

Davidović DM, Vukanić JV, Arsenović D. The character of reflection and transmission of xrays at energies used in radiological diagnostics. 2002;:289-292.
https://hdl.handle.net/21.15107/rcub_vinar_6397 .

Davidović, Dragomir M., Vukanić, Jovan V., Arsenović, Dušan, "The character of reflection and transmission of xrays at energies used in radiological diagnostics" (2002):289-292,
https://hdl.handle.net/21.15107/rcub_vinar_6397 .

TY  - JOUR
AU  - Arsenović, Dušan
AU  - Buric, N
AU  - Davidović, Dragomir M.
PY  - 1999
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2278
AB  - Recently a physically transparent definition of classical-like states of a quantum one-dimensional particle in a potential has been proposed [D. M. Davidovic and D. Lalovic, J. Phys. A. 31, 2281 (1998)]; such states have been explicitly constructed and studied. In the present paper we formulated an analogous definition of the classical-like states of a quantum system with no underlying classical model, namely the spin s = 1/2. The definition leads to a natural and consistent measure of the classical characteristics of a quantum state. We then constructed such classical-like states explicitly, and discussed their properties. [S1050-2947(99)06606-8].
T2  - Physical Review A
T1  - Classical-like states of spin s=1/2
VL  - 60
IS  - 3
SP  - 1797
EP  - 1801
DO  - 10.1103/PhysRevA.60.1797
ER  - 

@article{
author = "Arsenović, Dušan and Buric, N and Davidović, Dragomir M.",
year = "1999",
abstract = "Recently a physically transparent definition of classical-like states of a quantum one-dimensional particle in a potential has been proposed [D. M. Davidovic and D. Lalovic, J. Phys. A. 31, 2281 (1998)]; such states have been explicitly constructed and studied. In the present paper we formulated an analogous definition of the classical-like states of a quantum system with no underlying classical model, namely the spin s = 1/2. The definition leads to a natural and consistent measure of the classical characteristics of a quantum state. We then constructed such classical-like states explicitly, and discussed their properties. [S1050-2947(99)06606-8].",
journal = "Physical Review A",
title = "Classical-like states of spin s=1/2",
volume = "60",
number = "3",
pages = "1797-1801",
doi = "10.1103/PhysRevA.60.1797"
}

Arsenović, D., Buric, N.,& Davidović, D. M.. (1999). Classical-like states of spin s=1/2. in Physical Review A, 60(3), 1797-1801.
https://doi.org/10.1103/PhysRevA.60.1797

Arsenović D, Buric N, Davidović DM. Classical-like states of spin s=1/2. in Physical Review A. 1999;60(3):1797-1801.
doi:10.1103/PhysRevA.60.1797 .

Arsenović, Dušan, Buric, N, Davidović, Dragomir M., "Classical-like states of spin s=1/2" in Physical Review A, 60, no. 3 (1999):1797-1801,
https://doi.org/10.1103/PhysRevA.60.1797 . .