TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Lalović, Dragutin I.
PY  - 1999
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2270
AB  - The idea that the phase of single-mode field may be correctly defined as a phase difference between the state considered and a highly excited coherent state treated as the reference phase state, although present in discussions about the quantum phase problem, have not been directly concretized and its consequences fully understood. In the present work we succeed in finding an effective mathematical procedure which corresponds exactly to this idea and so derive, using the results related to phase difference available in the literature, the phase distribution for a single-mode field. We discuss the obtained results.
T2  - Journal of Physics. A: Mathematical and General
T1  - A way to define the phase distribution for a single mode quantum field
VL  - 32
IS  - 32
SP  - 5901
EP  - 5905
DO  - 10.1088/0305-4470/32/32/305
ER  - 

@article{
author = "Davidović, Dragomir M. and Lalović, Dragutin I.",
year = "1999",
abstract = "The idea that the phase of single-mode field may be correctly defined as a phase difference between the state considered and a highly excited coherent state treated as the reference phase state, although present in discussions about the quantum phase problem, have not been directly concretized and its consequences fully understood. In the present work we succeed in finding an effective mathematical procedure which corresponds exactly to this idea and so derive, using the results related to phase difference available in the literature, the phase distribution for a single-mode field. We discuss the obtained results.",
journal = "Journal of Physics. A: Mathematical and General",
title = "A way to define the phase distribution for a single mode quantum field",
volume = "32",
number = "32",
pages = "5901-5905",
doi = "10.1088/0305-4470/32/32/305"
}

Davidović, D. M.,& Lalović, D. I.. (1999). A way to define the phase distribution for a single mode quantum field. in Journal of Physics. A: Mathematical and General, 32(32), 5901-5905.
https://doi.org/10.1088/0305-4470/32/32/305

Davidović DM, Lalović DI. A way to define the phase distribution for a single mode quantum field. in Journal of Physics. A: Mathematical and General. 1999;32(32):5901-5905.
doi:10.1088/0305-4470/32/32/305 .

Davidović, Dragomir M., Lalović, Dragutin I., "A way to define the phase distribution for a single mode quantum field" in Journal of Physics. A: Mathematical and General, 32, no. 32 (1999):5901-5905,
https://doi.org/10.1088/0305-4470/32/32/305 . .

TY  - JOUR
AU  - Lalović, Dragutin I.
AU  - Davidović, Dragomir M.
AU  - Tančić, Aleksandar R.
PY  - 1998
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2165
AB  - Using the Glauber model of linear phase insensitive amplifier as the basis, we establish a general condition which must be obeyed by every operator referred to the quantum phase. We demonstrate that this condition defines a class of acceptable Hermitian quantum phase operators, and that an additional physical requirement leads to the unique quantum phase operator. It turns out that this is the same operator which for the first time has been suggested by H. Paul [Fortschr. Phys. 22, 657 (1974)] and has been widely discussed in the literature. [S0031-9007(98)06802-1].
T2  - Physical Review Letters
T1  - Quantum phase from the Glauber model of linear phase amplifiers
VL  - 81
IS  - 6
SP  - 1223
EP  - 1226
DO  - 10.1103/PhysRevLett.81.1223
ER  - 

@article{
author = "Lalović, Dragutin I. and Davidović, Dragomir M. and Tančić, Aleksandar R.",
year = "1998",
abstract = "Using the Glauber model of linear phase insensitive amplifier as the basis, we establish a general condition which must be obeyed by every operator referred to the quantum phase. We demonstrate that this condition defines a class of acceptable Hermitian quantum phase operators, and that an additional physical requirement leads to the unique quantum phase operator. It turns out that this is the same operator which for the first time has been suggested by H. Paul [Fortschr. Phys. 22, 657 (1974)] and has been widely discussed in the literature. [S0031-9007(98)06802-1].",
journal = "Physical Review Letters",
title = "Quantum phase from the Glauber model of linear phase amplifiers",
volume = "81",
number = "6",
pages = "1223-1226",
doi = "10.1103/PhysRevLett.81.1223"
}

Lalović, D. I., Davidović, D. M.,& Tančić, A. R.. (1998). Quantum phase from the Glauber model of linear phase amplifiers. in Physical Review Letters, 81(6), 1223-1226.
https://doi.org/10.1103/PhysRevLett.81.1223

Lalović DI, Davidović DM, Tančić AR. Quantum phase from the Glauber model of linear phase amplifiers. in Physical Review Letters. 1998;81(6):1223-1226.
doi:10.1103/PhysRevLett.81.1223 .

Lalović, Dragutin I., Davidović, Dragomir M., Tančić, Aleksandar R., "Quantum phase from the Glauber model of linear phase amplifiers" in Physical Review Letters, 81, no. 6 (1998):1223-1226,
https://doi.org/10.1103/PhysRevLett.81.1223 . .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Lalović, Dragutin I.
PY  - 1998
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2121
AB  - We give a definition of quantum states which behave classically based on minimal number of physically reasonable requirements. We prove that an infinite unique class of states exists which satisfies this definition and we show that every state from this class may be generated in the unique way departing from some corresponding strictly quantum state. We discuss some implications of the obtained results.
T2  - Journal of Physics. A: Mathematical and General
T1  - Quantum states which behave classically
VL  - 31
IS  - 10
SP  - 2281
EP  - 2285
DO  - 10.1088/0305-4470/31/10/006
ER  - 

@article{
author = "Davidović, Dragomir M. and Lalović, Dragutin I.",
year = "1998",
abstract = "We give a definition of quantum states which behave classically based on minimal number of physically reasonable requirements. We prove that an infinite unique class of states exists which satisfies this definition and we show that every state from this class may be generated in the unique way departing from some corresponding strictly quantum state. We discuss some implications of the obtained results.",
journal = "Journal of Physics. A: Mathematical and General",
title = "Quantum states which behave classically",
volume = "31",
number = "10",
pages = "2281-2285",
doi = "10.1088/0305-4470/31/10/006"
}

Davidović, D. M.,& Lalović, D. I.. (1998). Quantum states which behave classically. in Journal of Physics. A: Mathematical and General, 31(10), 2281-2285.
https://doi.org/10.1088/0305-4470/31/10/006

Davidović DM, Lalović DI. Quantum states which behave classically. in Journal of Physics. A: Mathematical and General. 1998;31(10):2281-2285.
doi:10.1088/0305-4470/31/10/006 .

Davidović, Dragomir M., Lalović, Dragutin I., "Quantum states which behave classically" in Journal of Physics. A: Mathematical and General, 31, no. 10 (1998):2281-2285,
https://doi.org/10.1088/0305-4470/31/10/006 . .

TY  - JOUR
AU  - Lalović, Dragutin I.
AU  - Davidović, Dragomir M.
AU  - Tančić, Aleksandar R.
PY  - 1998
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2194
AB  - We establish a general condition which must be obeyed by every operator referred to the quantum phase. This condition is derived on the basis of the model of the linear phase insensitive amplifier, proposed by Glauber. We demonstrate that the phase operators, most frequently discussed in literature, do not satisfy this condition, and that no Hermitian phase operator can satisfy this condition. We also show by explicit construction that this condition singles out one particular probability operator measure as the only candidate for the correct definition of the phase distribution of the quantum states. (C) 1998 Elsevier Science B.V. All rights reserved.
T2  - Physica A: Statistical Mechanics and Its Applications
T1  - The quantum phase problem and the linear phase insensitive quantum amplifier
VL  - 258
IS  - 3-4
SP  - 466
EP  - 476
DO  - 10.1016/S0378-4371(98)00232-5
ER  - 

@article{
author = "Lalović, Dragutin I. and Davidović, Dragomir M. and Tančić, Aleksandar R.",
year = "1998",
abstract = "We establish a general condition which must be obeyed by every operator referred to the quantum phase. This condition is derived on the basis of the model of the linear phase insensitive amplifier, proposed by Glauber. We demonstrate that the phase operators, most frequently discussed in literature, do not satisfy this condition, and that no Hermitian phase operator can satisfy this condition. We also show by explicit construction that this condition singles out one particular probability operator measure as the only candidate for the correct definition of the phase distribution of the quantum states. (C) 1998 Elsevier Science B.V. All rights reserved.",
journal = "Physica A: Statistical Mechanics and Its Applications",
title = "The quantum phase problem and the linear phase insensitive quantum amplifier",
volume = "258",
number = "3-4",
pages = "466-476",
doi = "10.1016/S0378-4371(98)00232-5"
}

Lalović, D. I., Davidović, D. M.,& Tančić, A. R.. (1998). The quantum phase problem and the linear phase insensitive quantum amplifier. in Physica A: Statistical Mechanics and Its Applications, 258(3-4), 466-476.
https://doi.org/10.1016/S0378-4371(98)00232-5

Lalović DI, Davidović DM, Tančić AR. The quantum phase problem and the linear phase insensitive quantum amplifier. in Physica A: Statistical Mechanics and Its Applications. 1998;258(3-4):466-476.
doi:10.1016/S0378-4371(98)00232-5 .

Lalović, Dragutin I., Davidović, Dragomir M., Tančić, Aleksandar R., "The quantum phase problem and the linear phase insensitive quantum amplifier" in Physica A: Statistical Mechanics and Its Applications, 258, no. 3-4 (1998):466-476,
https://doi.org/10.1016/S0378-4371(98)00232-5 . .

TY  - JOUR
AU  - Davidović, Dragomir M.
AU  - Lalović, Dragutin I.
PY  - 1996
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2002
AB  - Using the description of the linear phase insensitive amplification of a quantum state available in the literature we prove that to every state rho(t), produced from the initial state rho(0) by such amplification, there corresponds a phase space distribution lambda(2)D(0)(lambda(q), lambda p), where D-0(q, p) is the Husimi function of the initial state. The scaling parameter lambda satisfies the relation 0 LT lambda LT 1 and decreases with time while, as we have shown earlier, the scaled function is again a Husimi distribution. We prove, using these facts, that if the definition of the phase insensitive amplification is physically correct then the distribution of the phase of a state is unambiguously given as the corresponding marginal distribution obtained from its Husimi distribution represented in polar coordinates.
T2  - Journal of Physics. A: Mathematical and General
T1  - The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications
VL  - 29
IS  - 14
SP  - 3787
EP  - 3794
DO  - 10.1088/0305-4470/29/14/007
ER  - 

@article{
author = "Davidović, Dragomir M. and Lalović, Dragutin I.",
year = "1996",
abstract = "Using the description of the linear phase insensitive amplification of a quantum state available in the literature we prove that to every state rho(t), produced from the initial state rho(0) by such amplification, there corresponds a phase space distribution lambda(2)D(0)(lambda(q), lambda p), where D-0(q, p) is the Husimi function of the initial state. The scaling parameter lambda satisfies the relation 0 LT lambda LT 1 and decreases with time while, as we have shown earlier, the scaled function is again a Husimi distribution. We prove, using these facts, that if the definition of the phase insensitive amplification is physically correct then the distribution of the phase of a state is unambiguously given as the corresponding marginal distribution obtained from its Husimi distribution represented in polar coordinates.",
journal = "Journal of Physics. A: Mathematical and General",
title = "The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications",
volume = "29",
number = "14",
pages = "3787-3794",
doi = "10.1088/0305-4470/29/14/007"
}

Davidović, D. M.,& Lalović, D. I.. (1996). The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications. in Journal of Physics. A: Mathematical and General, 29(14), 3787-3794.
https://doi.org/10.1088/0305-4470/29/14/007

Davidović DM, Lalović DI. The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications. in Journal of Physics. A: Mathematical and General. 1996;29(14):3787-3794.
doi:10.1088/0305-4470/29/14/007 .

Davidović, Dragomir M., Lalović, Dragutin I., "The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications" in Journal of Physics. A: Mathematical and General, 29, no. 14 (1996):3787-3794,
https://doi.org/10.1088/0305-4470/29/14/007 . .