Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction

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dc.creatorTsutsui, Izumi
dc.creatorFulop, Tamas
dc.creatorCheon, Taksu
dc.date2001-05-15
dc.date.accessioned2026-07-07T12:47:15Z
dc.date.available2026-07-07T12:47:15Z
dc.descriptionThe Schroedinger operator with point interaction in one dimension has a U(2) family of self-adjoint extensions. We study the spectrum of the operator and show that (i) the spectrum is uniquely determined by the eigenvalues of the matrix U belonging to U(2) that characterizes the extension, and that (ii) the space of distinct spectra is given by the orbifold T^2/Z_2 which is a Moebius strip with boundary. We employ a parametrization of U(2) that admits a direct physical interpretation and furnishes a coherent framework to realize the spectral duality and anholonomy recently found. This allows us to find that (iii) physically distinct point interactions form a three-parameter quotient space of the U(2) family.
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0105066
dc.identifierhttp://arxiv.org/abs/quant-ph/0105066
dc.identifierJournal of Mathematical Physics 42 (2001) 5687-5697
dc.identifierdoi:10.1063/1.1415432
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221658
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleMoebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction
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