q-oscillator from the q-Hermite Polynomial

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dc.creatorOdake, Satoru
dc.creatorSasaki, Ryu
dc.date2007-10-11
dc.date2008-04-04
dc.date.accessioned2026-07-07T11:38:00Z
dc.date.available2026-07-07T11:38:00Z
dc.descriptionBy 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.
dc.description12pages, no figures. Document-class changed; q->1 limit added; refs.[9] and [10] updated. To appear in Phys. Lett. B
dc.identifierhttps://arxiv.org/abs/0710.2209
dc.identifierhttp://arxiv.org/abs/0710.2209
dc.identifierPhys.Lett.B663:141-145,2008
dc.identifierdoi:10.1016/j.physletb.2008.03.043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199410
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleq-oscillator from the q-Hermite Polynomial
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