Extended Voros product in the coherent states framework
classification
🧮 math-ph
math.MP
keywords
coherentproductstatesvorosalgebraextendedstarbarut-girardello
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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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