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Coherent states for the Legendre oscillator

V. V. Borzov·E. V. Damaskinsky
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Abstract

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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V. V. Borzov, E. V. Damaskinsky. 2003-07-14. Coherent states for the Legendre oscillator. https://arxiv.org/abs/math/0307187

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