English

Coherent states for the Legendre oscillator

Quantum Algebra 2007-05-23 v1 Classical Analysis and ODEs

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.

Cite

@article{arxiv.math/0307187,
  title  = {Coherent states for the Legendre oscillator},
  author = {V. V. Borzov and E. V. Damaskinsky},
  journal= {arXiv preprint arXiv:math/0307187},
  year   = {2007}
}

Comments

No figures, Latex2e

R2 v1 2026-07-22T16:56:14.544Z