Coherent states associated to the wavefunctions and the spectrum of the isotonic oscillator

Details Coherent states associated to the wavefunctions and the spectrum of the isotonic oscillator Coherent states associated to the wavefunctions and the spectrum of the isotonic oscillator

2004-03-06

arxiv.org/abs/math-ph/0403009v1

J.Phys.A:Math.Gen. 37 (2004) 4567-4577.

Physics

Mathematical Physics

12 pages

Scientific paper

10.1088/0305-4470/37/16/007

Classes of coherent states are presented by replacing the labeling parameter
$z$ of Klauder-Perelomov type coherent states by confluent hypergeometric
functions with specific parameters. Temporally stable coherent states for the
isotonic oscillator Hamiltonian are presented and these states are identified
as a particular case of the so-called Mittag-Leffler coherent states.

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