English

Extended Voros product in the coherent states framework

Mathematical Physics 2009-11-10 v1 math.MP

Abstract

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

Keywords

Cite

@article{arxiv.math-ph/0409042,
  title  = {Extended Voros product in the coherent states framework},
  author = {M. Daoud},
  journal= {arXiv preprint arXiv:math-ph/0409042},
  year   = {2009}
}
R2 v1 2026-07-22T16:24:56.494Z