Correspondence Between Classical and Quantum Theory by $f$-Deformed Coherent State

Abstract

Generalized $f$-coherent state approach in deformation quantization framework is investigated by using a $\ast$-eigenvalue equation. For this purpose we introduce a new Moyal star product called $f$-star product, so that by using this ${\ast }_f$-eigenvalue equation one can obtain exactly the spectrum of a general Hamiltonian of a deformed system.

Presented in QTRF-6, June 11-14, 2012-Sweden