Exact solution of the harmonic oscillator in arbitrary dimensions with minimal length uncertainty relations

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dc.contributorVirginia Techen
dc.contributor.authorChang, Lay Namen
dc.contributor.authorMinic, Djordjeen
dc.contributor.authorOkamura, Naotoshien
dc.contributor.authorTakeuchi, Tatsuen
dc.contributor.departmentInstitute for Particle, Nuclear and Astronomical Sciences (IPNAS)en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-16en
dc.date.accessioned2013-12-18T19:46:38Zen
dc.date.available2013-12-18T19:46:38Zen
dc.date.issued2002-06-15en
dc.description.abstractWe determine the energy eigenvalues and eigenfunctions of the harmonic oscillator where the coordinates and momenta are assumed to obey the modified commutation relations [(x) over cap (i),(p) over cap (j)]=i (h) over bar[(1+beta(p) over cap (2))delta(ij)+beta(')(p) over cap (i)(p) over cap (j)]. These commutation relations are motivated by the fact that 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.en
dc.identifier.citationChang, LN ; Minic, D ; Okamura, N ; et al., JUN 15 2002. “Exact solution of the harmonic oscillator in arbitrary dimensions with minimal length uncertainty relations,” PHYSICAL REVIEW D 65(12): 125027. DOI: 10.1103/PhysRevD.65.125027en
dc.identifier.doihttps://doi.org/10.1103/PhysRevD.65.125027en
dc.identifier.issn0556-2821en
dc.identifier.urihttp://hdl.handle.net/10919/24739en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevD.65.125027en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectspace-time uncertaintyen
dc.subjectstring theoryen
dc.subjectcosmological constanten
dc.subjectsuperstring collisionsen
dc.subjectinflationen
dc.subjectelectronen
dc.subjectenergyen
dc.subjectparticlesen
dc.subjectprincipleen
dc.subjectdynamicsen
dc.subjectAstronomy & Astrophysicsen
dc.subjectPhysicsen
dc.titleExact solution of the harmonic oscillator in arbitrary dimensions with minimal length uncertainty relationsen
dc.title.serialPhysical Review Den
dc.typeArticle - Refereeden

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