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.
Source:
12th Central European Workshop On Quantum Optics, 2006, 36, 46-
Publisher:
Institute of Physics Publishing
Funding / projects:
Ministry of Science, Technologies and Environmental Protection of the Republic Serbia
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 . .
