Coherent states for the Legendre oscillator

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A new oscillator-like system called by the Legendre oscillator is introduced in this note. The two families of coherent states (coherent states as eigenvectors of the annihilation operator and the Klauder-Gazeau temporally stable coherent states) are defined and investigated for this oscillator.
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Quantum Algebra, Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/68067

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307187
 http://arxiv.org/abs/math/0307187
 Zapiski Nauchn. Semin. POMI, vol.285, 39-52 (2002)

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arXiv