Applications of Partial Supersymmetry

dc.creatorSpector, Donald
dc.date2003-10-23
dc.date2003-11-05
dc.date.accessioned2026-07-07T10:51:07Z
dc.date.available2026-07-07T10:51:07Z
dc.descriptionI examine quantum mechanical Hamiltonians with partial supersymmetry, and explore two main applications. First, I analyze a theory with a logarithmic spectrum, and show how to use partial supersymmetry to reveal the underlying structure of this theory. This method reveals an intriguing equivalence between two formulations of this theory, one of which is one-dimensional, and the other of which is infinite-dimensional. Second, I demonstrate the use of partial supersymmetry as a tool to obtain the asymptotic energy levels in non-relativistic quantum mechanics in an exceptionally easy way. In the end, I discuss possible extensions of this work, including the possible connections between partial supersymmetry and renormalization group arguments.
dc.description11 pages, harvmac, no figures; typo corrected in identifying info on title page
dc.identifierhttps://arxiv.org/abs/quant-ph/0310149
dc.identifierhttp://arxiv.org/abs/quant-ph/0310149
dc.identifierJ.Phys.A37:4861-4870,2004
dc.identifierdoi:10.1088/0305-4470/37/17/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184752
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleApplications of Partial Supersymmetry
dc.typetext

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