Two-body problem on spaces of constant curvature

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dc.creatorShchepetilov, A. V.
dc.creatorStepanova, I. E.
dc.date2005-01-07
dc.date2006-01-17
dc.date.accessioned2026-07-07T06:38:34Z
dc.date.available2026-07-07T06:38:34Z
dc.descriptionThe two-body problem with a central interaction on simply connected constant curvature spaces of an arbitrary dimension is considered. The explicit expression for the quantum two-body Hamiltonian via a radial differential operator and generators of the isometry group is found. We construct a self-adjoint extension of this Hamiltonian. Some its exact spectral series are calculated for several potential in the space ${\bf S}^3$. We describe also the reduced classical mechanical system on a homogeneous space of a Lie group in terms of the coadjoint action of this group. Using this approach the description of the reduced classical two-body problem on constant curvature spaces is given.
dc.descriptionTypos corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0501015
dc.identifierhttp://arxiv.org/abs/math-ph/0501015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100782
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject70F05, 43A85, 22E70, 57S25, 70G65
dc.titleTwo-body problem on spaces of constant curvature
dc.typetext

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