Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations

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dc.creatorChang, Lay Nam
dc.creatorMinic, Djordje
dc.creatorOkamura, Naotoshi
dc.creatorTakeuchi, Tatsu
dc.date2001-11-21
dc.date2002-03-15
dc.date.accessioned2026-07-07T04:12:42Z
dc.date.available2026-07-07T04:12:42Z
dc.descriptionWe determine the energy eigenvalues and eigenfunctions of the harmonic oscillator where the coordinates and momenta are assumed to obey the modified commutation relations [x_i,p_j]=i hbar[(1+ beta p^2) delta_{ij} + beta' p_i p_j]. These commutation relations are motivated by the fact they lead to the minimal length uncertainty relations which appear in perturbative string theory. Our solutions illustrate how certain features of string theory may manifest themselves in simple quantum mechanical systems through the modification of the canonical commutation relations. We discuss whether such effects are observable in precision measurements on electrons trapped in strong magnetic fields.
dc.description15 pages, REVTEX4, new section V added
dc.identifierhttps://arxiv.org/abs/hep-th/0111181
dc.identifierhttp://arxiv.org/abs/hep-th/0111181
dc.identifierPhys.Rev. D65 (2002) 125027
dc.identifierdoi:10.1103/PhysRevD.65.125027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50993
dc.subjectHigh Energy Physics - Theory
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleExact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
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