The Moyal bracket in the coherent states framework

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Published 8 March 2002 • Published under licence by IOP Publishing Ltd
, , Citation M Daoud and E H El Kinani 2002 J. Phys. A: Math. Gen. 35 2639 DOI 10.1088/0305-4470/35/11/310

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Author affiliations

1 The Abdus Salam International Centre for Theoretical Physics, ICTP, Strada Costiera 11, 34100 Tieste, Italy

2 Permanent address: LPMC, Département de Physique, Faculté des Sciences BP 28/S, Université Ibn Zohr, Agadir, Morocco.

3 Permanent address: GMP, Département de Mathématiques, Faculté des Sciences et Techniques, Boutalamine BP 509, Université Moulay Ismail, Errachidia, Morocco.

Dates

  1. Received 8 October 2001
  2. Published

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0305-4470/35/11/2639

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.

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