Coherent states for the Legendre oscillator

Details Coherent states for the Legendre oscillator Coherent states for the Legendre oscillator

2003-07-14

arxiv.org/abs/math/0307187v1

Zapiski Nauchn. Semin. POMI, vol.285, 39-52 (2002)

Mathematics

Quantum Algebra

No figures, Latex2e

Scientific paper

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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