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Coherent States for Generalized Laguerre Functions

Ahmed Jellal
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Abstract

We explicitly construct a Hamiltonian whose exact eigenfunctions are the generalized Laguerre functions. Moreover, we present the related raising and lowering operators. We investigate the corresponding coherent states by adopting the Gazeau-Klauder approach, where resolution of unity and overlapping properties are examined. Coherent states are found to be similar to those found for a particle trapped in a Pöschl-Teller potential of the trigonometric type. Some comparisons with Barut-Girardello and Klauder-Perelomov methods are noticed.

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Ahmed Jellal. 2001-10-28. Coherent States for Generalized Laguerre Functions. https://doi.org/10.1142/s0217732302006874

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