Gazeau- Klouder Coherent states on a sphere

Autor: Z Heibati, A Mahdifar, E Amooghorban
Jazyk: English<br />Persian
Rok vydání: 2019
Předmět:
Zdroj: Iranian Journal of Physics Research, Vol 19, Iss 2, Pp 379-390 (2019)
Druh dokumentu: article
ISSN: 1682-6957
2345-3664
Popis: In this paper, we construct the Gazeau-Klauder coherent states of a two- dimensional harmonic oscillator on a sphere based on two equivalent approaches. First, we consider the oscillator on the sphere as a deformed (non-degenerate) one-dimensional oscillator. Second, the oscillator on the sphere is considered as the usual (degenerate) two--dimensional oscillator. Then, by investigating the quantum optical properties of the constructed coherent states, we study the effect of the space curvature on the properties of the constructed sphere Gazeau-Klauder coherent states, according to these two approaches.
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