Extended Voros product in the coherent states framework
M. Daoud
TL;DR
This paper extends the Voros product within the coherent states framework, exploring its covariance properties and applications to different Lie algebras and quantum systems.
Contribution
It introduces an extended Voros product for Weyl-Heisenberg coherent states and examines its covariance, also analyzing related star products for $su(1,1)$ and the singular harmonic oscillator.
Findings
Derived extended Voros products and Moyal brackets for $h_N$
Discussed covariance of Voros product under canonical transformations
Investigated star eigenvalue problem of singular harmonic oscillator
Abstract
Using coherent states of the Weyl-Heisenberg algebra , extended Voros products and Moyal brakets are derived. The covariance of Voros product under canonical transformations is discussed. Star product related to Barut-Girardello coherent states of the Lie algebra is also considered. The star eigenvalue problem of singular harmonic osillator is investigated.
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