The Moyal Bracket in the Coherent States framework
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
The star product and Moyal bracket are introduced using the coherent states corresponding to quantum systems with non-linear spectra. Two kinds of coherent state are considered. The first kind is the set of Gazeau-Klauder coherent states and the second kind are constructed following the Perelomov-Klauder approach. The particular case of the harmonic oscillator is also discussed.
Keywords
Cite
@article{arxiv.math-ph/0309037,
title = {The Moyal Bracket in the Coherent States framework},
author = {M. Daoud and E. H. El Kinani},
journal= {arXiv preprint arXiv:math-ph/0309037},
year = {2009}
}
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13 pages