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 . .