Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation

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dc.creatorCorrea, Francisco
dc.creatorPlyushchay, Mikhail S.
dc.date2007-06-08
dc.date2007-10-17
dc.date.accessioned2026-07-07T10:56:06Z
dc.date.available2026-07-07T10:56:06Z
dc.descriptionA hidden nonlinear bosonized supersymmetry was revealed recently in Poschl-Teller and finite-gap Lame systems. In spite of the intimate relationship between the two quantum models, the hidden supersymmetry in them displays essential differences. In particular, the kernel of the supercharges of the Poschl-Teller system, unlike the case of Lame equation, includes nonphysical states. By means of Lame equation, we clarify the nature of these peculiar states, and show that they encode essential information not only on the original hyperbolic Poschl-Teller system, but also on its singular hyperbolic and trigonometric modifications, and reflect the intimate relation of the model to a free particle system.
dc.description10 pages, typos corrected; to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/0706.1114
dc.identifierhttp://arxiv.org/abs/0706.1114
dc.identifierJ.Phys.A40:14403-14412,2007
dc.identifierdoi:10.1088/1751-8113/40/48/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186302
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titlePeculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation
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