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Optics Communications

Quantum statistical properties of Gazeau–Klauder coherent state of the anharmonic oscillator

Pinaki Roy

Published May 19, 2003• 23 citations
Publisher
DOI
10.1016/s0030-4018(03)01470-6

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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.