arXiv:0710.2209 · Physics Letters B

q-oscillator from the q-Hermite polynomial

Satoru Odake, Ryu Sasaki B

Published Apr 2, 2008• 27 citations

Abstract

By factorization of the Hamiltonian describing the quantum mechanics of the continuous q-Hermite polynomial, the creation and annihilation operators of the q-oscillator are obtained. They satisfy a q-oscillator algebra as a consequence of the shape-invariance of the Hamiltonian. A second set of q-oscillator is derived from the exact Heisenberg operator solution. Now the q-oscillator stands on the equal footing to the ordinary harmonic oscillator.

DOI: 10.1016/j.physletb.2008.03.043

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