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arxiv: math-ph/0204028 · v1 · submitted 2002-04-12 · 🧮 math-ph · math.MP

On The Construction of Generalized Coherent States for Generalized Harmonic Oscillators

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keywords algebracoherentconstructiongeneralizedharmonicmethodspecialstates
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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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