On The Construction of Generalized Coherent States for Generalized Harmonic Oscillators

M. El Baz; Y. Hassouni; F. Madouri

doi:10.1016/S0034-4877(02)80057-X

On The Construction of Generalized Coherent States for Generalized Harmonic Oscillators

Mathematical Physics 2009-11-07 v1 math.MP

Authors: M. El Baz , Y. Hassouni , F. Madouri

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Abstract

A dynamical algebra ${\cal A}_q$ , englobing many of the deformed harmonic oscillator algebras is introduced. One of its special cases is extensively developed. A general method for constructing coherent states related to any algebra of the type ${\cal A}_q$ is discussed. The construction following this method is carried out for the special case.

Keywords

generalized coherent states generalized harmonic oscillators dynamical algebra deformed oscillators aq algebra

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@article{arxiv.math-ph/0204028,
  title  = {On The Construction of Generalized Coherent States for Generalized Harmonic Oscillators},
  author = {M. El Baz and Y. Hassouni and F. Madouri},
  journal= {arXiv preprint arXiv:math-ph/0204028},
  year   = {2009}
}

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14 pages, no figures

On The Construction of Generalized Coherent States for Generalized Harmonic Oscillators

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