Extended Voros product in the coherent states framework
Abstract
Using coherent states of the Weyl-Heisenberg algebra hN, 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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