Algebraic Solution of the Harmonic Oscillator With Minimal Length Uncertainty Relations

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dc.creatorGemba, K.
dc.creatorHlousek, Z. T.
dc.creatorPapp, Z.
dc.date2007-12-13
dc.date.accessioned2026-07-07T08:48:57Z
dc.date.available2026-07-07T08:48:57Z
dc.descriptionIn quantum mechanics with minimal length uncertainty relations the Heisenberg-Weyl algebra of the one-dimensional harmonic oscillator is a deformed SU(1,1) algebra. The eigenvalues and eigenstates are constructed algebraically and they form the infinite-dimensional representation of the deformed SU(1,1) algebra. Our construction is independent of prior knowledge of the exact solution of the Schrödinger equation of the model. The approach can be generalized to the $D$-dimensional oscillator with non-commuting coordinates.
dc.identifierhttps://arxiv.org/abs/0712.2078
dc.identifierhttp://arxiv.org/abs/0712.2078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144131
dc.subjectQuantum Physics
dc.titleAlgebraic Solution of the Harmonic Oscillator With Minimal Length Uncertainty Relations
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