2021-10-19T11:25:27Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000116862021-09-02T05:45:03Z1169:1170Q-oscillator from the q-Hermite polynomialOdake, SatoruSasaki, RyuBy 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.ArticlePHYSICS LETTERS B. 663(1-2):141-145 (2008)journal articleELSEVIER SCIENCE BV2008-05-15application/pdfPHYSICS LETTERS B1-26631411450370-2693AA00774026https://soar-ir.repo.nii.ac.jp/record/11686/files/q-oscillator_from_the_q-Hermite.pdfeng10.1016/j.physletb.2008.03.043https://doi.org/10.1016/j.physletb.2008.03.043Copyright © 2008 Elsevier B.V. All rights reserved.