Gazeau- Klouder Coherent states on a sphere

• Main Authors: Z Heibati, A Mahdifar, E Amooghorban
• Format: Article
• Language: English
• Published: Isfahan University of Technology 2019-09-01
• Series: Iranian Journal of Physics Research
• Subjects: Gazeau-Klauder coherent states; two-dimensional harmonic oscillator on a sphere; quantum optical properties
• Online Access: http://ijpr.iut.ac.ir/article-1-2491-en.html
• ISSN: 1682-6957; 2345-3664

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.