Coherent States for Generalized Laguerre Functions

Details Coherent States for Generalized Laguerre Functions Coherent States for Generalized Laguerre Functions

2001-09-04

arxiv.org/abs/hep-th/0109028v2

Mod.Phys.Lett. A17 (2002) 671-682

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, clarifications and references added, misprints corrected

Scientific paper

10.1142/S0217732302006874

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 P\"oschl-Teller potential of the trigonometric type. Some comparisons with Barut-Girardello and Klauder-Perelomov methods are noticed.

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