The Moyal Bracket in the Coherent States framework

Details The Moyal Bracket in the Coherent States framework The Moyal Bracket in the Coherent States framework

2003-09-15

arxiv.org/abs/math-ph/0309037v1

Journal of Physics A : Math.& Gen.35 No 11 (2002),2639

Physics

Mathematical Physics

13 pages

Scientific paper

10.1088/0305-4470/35/11/310

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.

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