Iranian Journal of Physics Research

Berezin’s quantization approach for determining the ladder operators associated ‎to a movement particle on the circle and sphere

Document Type : Original Article

Authors

S Rezaei
A Rabeie

Department of Physics, Razi University, Kermanshah, Iran

https://doi.org/10.47176/ijpr.21.1.51054
Abstract
The quantum formulation of a physical system is essentially based on the associated creation and annihilation operators. In this article, we introduce these ladder operators for a movement particle on the circle and 2-dimensional sphere by Berezin’s quantization .This approach is derived from the resolution of the unity condition in coherent states. In other words, the coherent states provide a straight forward quantization scheme from a classical state to corresponding quantum state. In this article, we study the coherent states of these systems from heat kernel function point of view.

Keywords

coherent states
Berezin’s quantization
creation operator
annihilation operator ‎‎
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