TY  - JOUR
AU  - Andreev, Vladimir
AU  - Davidović, Milena
AU  - Davidović, Ljubica
AU  - Davidović, Miloš
AU  - Davidović, Dragomir
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2508
AB  - Abstract. We consider the system of N two-level atoms, of which N0 atoms are
unexcited and N1 are excited. This system of N two-level atoms, which forms a linear
quantum amplifier, interacts with a single-mode electromagnetic field. The problem of
amplification of the L-photon states using such an amplifier is studied. The evolution
of the electromagnetic field density matrix is described by the master equation for the
field under amplification. The dynamics of this process is such that it can be described
as the transformation of the scale of the phase space. The exact solution of the master
equation is expressed using the transformed Husimi function of the L-quantum state
of the harmonic oscillator. The properties of this function are studied and using it the
average photon number and its fluctuations in the amplified state are found.
PB  - Publishing House of the Romanian Academy
T2  - Romanian Reports in Physics
T1  - Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier
IS  - 1
SP  - 102
VL  - 73
UR  - https://hdl.handle.net/21.15107/rcub_vinar_9164
ER  - 

@article{
author = "Andreev, Vladimir and Davidović, Milena and Davidović, Ljubica and Davidović, Miloš and Davidović, Dragomir",
year = "2021",
abstract = "Abstract. We consider the system of N two-level atoms, of which N0 atoms are
unexcited and N1 are excited. This system of N two-level atoms, which forms a linear
quantum amplifier, interacts with a single-mode electromagnetic field. The problem of
amplification of the L-photon states using such an amplifier is studied. The evolution
of the electromagnetic field density matrix is described by the master equation for the
field under amplification. The dynamics of this process is such that it can be described
as the transformation of the scale of the phase space. The exact solution of the master
equation is expressed using the transformed Husimi function of the L-quantum state
of the harmonic oscillator. The properties of this function are studied and using it the
average photon number and its fluctuations in the amplified state are found.",
publisher = "Publishing House of the Romanian Academy",
journal = "Romanian Reports in Physics",
title = "Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier",
number = "1",
pages = "102",
volume = "73",
url = "https://hdl.handle.net/21.15107/rcub_vinar_9164"
}

Andreev, V., Davidović, M., Davidović, L., Davidović, M.,& Davidović, D.. (2021). Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier. in Romanian Reports in Physics
Publishing House of the Romanian Academy., 73(1), 102.
https://hdl.handle.net/21.15107/rcub_vinar_9164

Andreev V, Davidović M, Davidović L, Davidović M, Davidović D. Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier. in Romanian Reports in Physics. 2021;73(1):102.
https://hdl.handle.net/21.15107/rcub_vinar_9164 .

Andreev, Vladimir, Davidović, Milena, Davidović, Ljubica, Davidović, Miloš, Davidović, Dragomir, "Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier" in Romanian Reports in Physics, 73, no. 1 (2021):102,
https://hdl.handle.net/21.15107/rcub_vinar_9164 .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milos D.
AU  - Davidović, Milena
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/877
AB  - We consider scale transformations (q, p) - gt (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop a method that allows finding so-called stretched states to which these superpositions transform under such a scale transformation. We study the properties of the stretched states and calculate their density matrices in explicit form. We establish that the density matrix structure can be described using negative binomial distributions. We find expressions for the energy and entropy of stretched states and calculate the means of the number-ofstates operator. We give the form of the Heisenberg and Robertson-Schrodinger uncertainty relations for stretched states.
PB  - Maik Nauka Publishing / Springer SBM
T2  - Theoretical and Mathematical Physics
T1  - Scale transformations in phase space and stretched states of a harmonic oscillator
EP  - 1096
IS  - 1
SP  - 1080
VL  - 192
DO  - 10.1134/S0040577917070091
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milos D. and Davidović, Milena",
year = "2017",
abstract = "We consider scale transformations (q, p) - gt (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop a method that allows finding so-called stretched states to which these superpositions transform under such a scale transformation. We study the properties of the stretched states and calculate their density matrices in explicit form. We establish that the density matrix structure can be described using negative binomial distributions. We find expressions for the energy and entropy of stretched states and calculate the means of the number-ofstates operator. We give the form of the Heisenberg and Robertson-Schrodinger uncertainty relations for stretched states.",
publisher = "Maik Nauka Publishing / Springer SBM",
journal = "Theoretical and Mathematical Physics",
title = "Scale transformations in phase space and stretched states of a harmonic oscillator",
pages = "1096-1080",
number = "1",
volume = "192",
doi = "10.1134/S0040577917070091"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M. D.,& Davidović, M.. (2017). Scale transformations in phase space and stretched states of a harmonic oscillator. in Theoretical and Mathematical Physics
Maik Nauka Publishing / Springer SBM., 192(1), 1080-1096.
https://doi.org/10.1134/S0040577917070091

Andreev VA, Davidović DM, Davidović LD, Davidović MD, Davidović M. Scale transformations in phase space and stretched states of a harmonic oscillator. in Theoretical and Mathematical Physics. 2017;192(1):1080-1096.
doi:10.1134/S0040577917070091 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milos D., Davidović, Milena, "Scale transformations in phase space and stretched states of a harmonic oscillator" in Theoretical and Mathematical Physics, 192, no. 1 (2017):1080-1096,
https://doi.org/10.1134/S0040577917070091 . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milos D.
AU  - Davidović, Milena
AU  - Zotov, Sergey D.
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/807
AB  - We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - gt (aiiq; aiip), the Husimi function of any physical state is converted into a function which is also the Husimi function of some physical state. More precisely, it has been proved that, if Q(q, p) is the Husimi function, the function aii(2) Q(aiiq; aiip) is also the Husimi function. We call a state with the Husimi function aii(2) Q(aiiq; aiip) the stretched state and investigate the properties of the stretched Fock states. These states can be obtained as a result of applying the scaling transform to the Fock states of the harmonic oscillator. The harmonic-oscillator Fock states are pure states, but the stretched Fock states are mixed states. We find the density matrices of stretched Fock states in an explicit form. Their structure can be described with the help of negative binomial distributions. We present the graphs of distributions of negative binomial coefficients for different stretched Fock states and show the von Neumann entropy of the simplest stretched Fock state.
PB  - Springer New York LLC
T2  - Journal of Russian Laser Research
T1  - Scaling Transform and Stretched States in Quantum Mechanics
EP  - 439
IS  - 5
SP  - 434
VL  - 37
DO  - 10.1007/s10946-016-9594-4
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milos D. and Davidović, Milena and Zotov, Sergey D.",
year = "2016",
abstract = "We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - gt (aiiq; aiip), the Husimi function of any physical state is converted into a function which is also the Husimi function of some physical state. More precisely, it has been proved that, if Q(q, p) is the Husimi function, the function aii(2) Q(aiiq; aiip) is also the Husimi function. We call a state with the Husimi function aii(2) Q(aiiq; aiip) the stretched state and investigate the properties of the stretched Fock states. These states can be obtained as a result of applying the scaling transform to the Fock states of the harmonic oscillator. The harmonic-oscillator Fock states are pure states, but the stretched Fock states are mixed states. We find the density matrices of stretched Fock states in an explicit form. Their structure can be described with the help of negative binomial distributions. We present the graphs of distributions of negative binomial coefficients for different stretched Fock states and show the von Neumann entropy of the simplest stretched Fock state.",
publisher = "Springer New York LLC",
journal = "Journal of Russian Laser Research",
title = "Scaling Transform and Stretched States in Quantum Mechanics",
pages = "439-434",
number = "5",
volume = "37",
doi = "10.1007/s10946-016-9594-4"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M. D., Davidović, M.,& Zotov, S. D.. (2016). Scaling Transform and Stretched States in Quantum Mechanics. in Journal of Russian Laser Research
Springer New York LLC., 37(5), 434-439.
https://doi.org/10.1007/s10946-016-9594-4

Andreev VA, Davidović DM, Davidović LD, Davidović MD, Davidović M, Zotov SD. Scaling Transform and Stretched States in Quantum Mechanics. in Journal of Russian Laser Research. 2016;37(5):434-439.
doi:10.1007/s10946-016-9594-4 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milos D., Davidović, Milena, Zotov, Sergey D., "Scaling Transform and Stretched States in Quantum Mechanics" in Journal of Russian Laser Research, 37, no. 5 (2016):434-439,
https://doi.org/10.1007/s10946-016-9594-4 . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Milena
AU  - Davidović, Ljubica D.
AU  - Davidović, Milos D.
AU  - Davidović, Dragomir M.
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/666
AB  - We propose a new method for the derivation of Husimi symbols, for operators that are given in the form of products of an arbitrary number of coordinates, and momentum operators, in an arbitrary order. For such an operator, in the standard approach, one expresses coordinate and momentum operators as a linear combination of the creation and annihilation operators, and then uses the antinormal ordering to obtain the final form of the symbol. In our method, one obtains the Husimi symbol in a much more straightforward fashion, departing directly from operator explicit form without transforming it through creation and annihilation operators. With this method the mean values of some operators are found. It is shown how the Heisenberg and the Schrodinger-Robertson uncertainty relations, for position and momentum, are transformed under scale transformation (q; p) - gt (lambda q; lambda p). The physical sense of some states which can be constructed with this transformation is also discussed.
PB  - Institute of Physics Publishing
T2  - Physica Scripta
T1  - Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations
IS  - 7
VL  - 90
DO  - 10.1088/0031-8949/90/7/074023
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Milena and Davidović, Ljubica D. and Davidović, Milos D. and Davidović, Dragomir M.",
year = "2015",
abstract = "We propose a new method for the derivation of Husimi symbols, for operators that are given in the form of products of an arbitrary number of coordinates, and momentum operators, in an arbitrary order. For such an operator, in the standard approach, one expresses coordinate and momentum operators as a linear combination of the creation and annihilation operators, and then uses the antinormal ordering to obtain the final form of the symbol. In our method, one obtains the Husimi symbol in a much more straightforward fashion, departing directly from operator explicit form without transforming it through creation and annihilation operators. With this method the mean values of some operators are found. It is shown how the Heisenberg and the Schrodinger-Robertson uncertainty relations, for position and momentum, are transformed under scale transformation (q; p) - gt (lambda q; lambda p). The physical sense of some states which can be constructed with this transformation is also discussed.",
publisher = "Institute of Physics Publishing",
journal = "Physica Scripta",
title = "Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations",
number = "7",
volume = "90",
doi = "10.1088/0031-8949/90/7/074023"
}

Andreev, V. A., Davidović, M., Davidović, L. D., Davidović, M. D.,& Davidović, D. M.. (2015). Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations. in Physica Scripta
Institute of Physics Publishing., 90(7).
https://doi.org/10.1088/0031-8949/90/7/074023

Andreev VA, Davidović M, Davidović LD, Davidović MD, Davidović DM. Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations. in Physica Scripta. 2015;90(7).
doi:10.1088/0031-8949/90/7/074023 .

Andreev, Vladimir A., Davidović, Milena, Davidović, Ljubica D., Davidović, Milos D., Davidović, Dragomir M., "Derivation of the Husimi symbols without antinormal ordering, scale transformation and uncertainty relations" in Physica Scripta, 90, no. 7 (2015),
https://doi.org/10.1088/0031-8949/90/7/074023 . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milena
AU  - Man'ko, V. I.
AU  - Manko, M. A.
PY  - 2011
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/351
AB  - We consider the Husimi Q-functions, which are quantum quasiprobability distributions in the phase space, and investigate their transformation properties under a scale transformation (q, p) - gt (lambda q, lambda p). We prove a theorem that under this transformation, the Husimi function of a physical state is transformed into a function that is also a Husimi function of some physical state. Therefore, the scale transformation defines a positive map of density operators. We investigate the relation of Husimi functions to Wigner functions and symplectic tomograms and establish how they transform under the scale transformation. As an example, we consider the harmonic oscillator and show how its states transform under the scale transformation.
T2  - Theoretical and Mathematical Physics
T1  - A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms
EP  - 368
IS  - 3
SP  - 356
VL  - 166
DO  - 10.1007/s11232-011-0028-8
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milena and Man'ko, V. I. and Manko, M. A.",
year = "2011",
abstract = "We consider the Husimi Q-functions, which are quantum quasiprobability distributions in the phase space, and investigate their transformation properties under a scale transformation (q, p) - gt (lambda q, lambda p). We prove a theorem that under this transformation, the Husimi function of a physical state is transformed into a function that is also a Husimi function of some physical state. Therefore, the scale transformation defines a positive map of density operators. We investigate the relation of Husimi functions to Wigner functions and symplectic tomograms and establish how they transform under the scale transformation. As an example, we consider the harmonic oscillator and show how its states transform under the scale transformation.",
journal = "Theoretical and Mathematical Physics",
title = "A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms",
pages = "368-356",
number = "3",
volume = "166",
doi = "10.1007/s11232-011-0028-8"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M., Man'ko, V. I.,& Manko, M. A.. (2011). A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms. in Theoretical and Mathematical Physics, 166(3), 356-368.
https://doi.org/10.1007/s11232-011-0028-8

Andreev VA, Davidović DM, Davidović LD, Davidović M, Man'ko VI, Manko MA. A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms. in Theoretical and Mathematical Physics. 2011;166(3):356-368.
doi:10.1007/s11232-011-0028-8 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milena, Man'ko, V. I., Manko, M. A., "A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms" in Theoretical and Mathematical Physics, 166, no. 3 (2011):356-368,
https://doi.org/10.1007/s11232-011-0028-8 . .

TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milena
PY  - 2011
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/350
AB  - Husimi Q-functions are the only functions from the class of Cohen quasi-distributions on phase space that after scaling transformation (q, p) - gt (lambda q, lambda p) remain in the same class when the modulus of the scaling parameter is smaller than unity and so, in this case, describe a physical state. We found the Wigner functions and symplectic tomograms of such states. We applied the obtained general results to the Fock states of the harmonic oscillator.
T2  - Physica Scripta
T1  - Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states
DO  - 10.1088/0031-8949/2011/T143/014003
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milena",
year = "2011",
abstract = "Husimi Q-functions are the only functions from the class of Cohen quasi-distributions on phase space that after scaling transformation (q, p) - gt (lambda q, lambda p) remain in the same class when the modulus of the scaling parameter is smaller than unity and so, in this case, describe a physical state. We found the Wigner functions and symplectic tomograms of such states. We applied the obtained general results to the Fock states of the harmonic oscillator.",
journal = "Physica Scripta",
title = "Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states",
doi = "10.1088/0031-8949/2011/T143/014003"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D.,& Davidović, M.. (2011). Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2011/T143/014003

Andreev VA, Davidović DM, Davidović LD, Davidović M. Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states. in Physica Scripta. 2011;.
doi:10.1088/0031-8949/2011/T143/014003 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milena, "Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states" in Physica Scripta (2011),
https://doi.org/10.1088/0031-8949/2011/T143/014003 . .

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  - 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 . .