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Coherent States for Generalized Laguerre Functions

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arxiv hep-th/0109028 v2 pith:YPRG4WL2 submitted 2001-09-04 hep-th cond-matmath-phmath.MP

Coherent States for Generalized Laguerre Functions

classification hep-th cond-matmath-phmath.MP
keywords coherentstatesfoundfunctionsgeneralizedlaguerreadoptingapproach
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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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