Extended Voros product in the coherent states framework

Details Extended Voros product in the coherent states framework Extended Voros product in the coherent states framework

2004-09-18

arxiv.org/abs/math-ph/0409042v1

Phys. Lett. A, 309 (2003) 167

Physics

Mathematical Physics

Scientific paper

10.1016/S0375-9601(03)00017-3

Using coherent states of the Weyl-Heisenberg algebra $h_N$, 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 $su(1,1)$ is also considered. The star eigenvalue problem of singular harmonic osillator is investigated.

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