Two-body quantum mechanical problem on spheres

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dc.creatorShchepetilov, Alexey V.
dc.date2005-07-20
dc.date2006-01-17
dc.date.accessioned2026-07-07T06:42:17Z
dc.date.available2026-07-07T06:42:17Z
dc.descriptionThe quantum mechanical two-body problem with a central interaction on the sphere ${\bf S}^{n}$ is considered. Using recent results in representation theory an ordinary differential equation for some energy levels is found. For several interactive potentials these energy levels are calculated in explicit form.
dc.description41 pages, no figures, typos corrected; appendix D was added
dc.identifierhttps://arxiv.org/abs/math-ph/0507050
dc.identifierhttp://arxiv.org/abs/math-ph/0507050
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 4011-4046
dc.identifierdoi:10.1088/0305-4470/39/15/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101984
dc.subjectMathematical Physics
dc.subject43A85, 22E70, 57S25, 70G65
dc.titleTwo-body quantum mechanical problem on spheres
dc.typetext

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