Non-entire functions of creation and annihilation operators and their relation to phase operator
Апстракт
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.
Извор:
12th Central European Workshop On Quantum Optics, 2006, 36, 46-Издавач:
- Institute of Physics Publishing
Финансирање / пројекти:
- Ministry of Science, Technologies and Environmental Protection of the Republic Serbia
DOI: 10.1088/1742-6596/36/1/009
ISSN: 1742-6588
WoS: 000239847500009
Scopus: 2-s2.0-33646410074
Колекције
Институција/група
GraFarTY - 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 . .