The Moyal Bracket in the Coherent States framework
arXiv:math-ph/0309037 · doi:10.1088/0305-4470/35/11/310
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.
13 pages