On The Construction of Generalized Coherent States for Generalized Harmonic Oscillators

Physics – Mathematical Physics

Scientific paper

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14 pages, no figures

Scientific paper

10.1016/S0034-4877(02)80057-X

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.

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