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

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.

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