Orthosymplectic Lie superalgebras in superspace analogues of quantum Kepler problems

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dc.creatorZhang, R. B.
dc.date2007-09-05
dc.date.accessioned2026-07-07T11:19:06Z
dc.date.available2026-07-07T11:19:06Z
dc.descriptionA Schroedinger type equation on the superspace R^{D|2n} is studied, which involves a potential inversely proportional to the negative of the osp(D|2n) invariant "distance" away from the origin. An osp(2,D+1|2n) dynamical supersymmetry for the system is explicitly constructed, and the bound states of the system are shown to form an irreducible highest weight module for this superalgebra. A thorough understanding of the structure of the irreducible module is obtained. This in particular enables the determination of the energy eigenvalues and the corresponding eigenspaces as well as their respective dimensions.
dc.description17 pages; to appear in Communications in Mathematical Physics
dc.identifierhttps://arxiv.org/abs/0709.0565
dc.identifierhttp://arxiv.org/abs/0709.0565
dc.identifierCommun.Math.Phys.280:545-562,2008
dc.identifierdoi:10.1007/s00220-008-0450-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193567
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectRepresentation Theory
dc.titleOrthosymplectic Lie superalgebras in superspace analogues of quantum Kepler problems
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