Coherent States for Generalized Laguerre Functions
arXiv:hep-th/0109028 · doi:10.1142/S0217732302006874
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.
12 pages, clarifications and references added, misprints corrected
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Cited by in corpus (7)
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- Coherent state of a nonlinear oscillator and its revival dynamics
- Coherent state of the effective mass harmonic oscillator
- Quantum hypercomputation based on the dynamical algebra su(1,1)