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 . .