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arxiv: math-ph/0309037 · v1 · submitted 2003-09-15 · 🧮 math-ph · math.MP

The Moyal Bracket in the Coherent States framework

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keywords coherentstatesbracketkindmoyalapproachcaseconsidered
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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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