New Solvable Singular Potentials

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dc.creatorDutt, R.
dc.creatorGangopadhyaya, A.
dc.creatorRasinariu, C.
dc.creatorSukhatme, U.
dc.date2000-11-13
dc.date.accessioned2026-07-07T10:53:28Z
dc.date.available2026-07-07T10:53:28Z
dc.descriptionWe obtain three new solvable, real, shape invariant potentials starting from the harmonic oscillator, Pöschl-Teller I and Pöschl-Teller II potentials on the half-axis and extending their domain to the full line, while taking special care to regularize the inverse square singularity at the origin. The regularization procedure gives rise to a delta-function behavior at the origin. Our new systems possess underlying non-linear potential algebras, which can also be used to determine their spectra analytically.
dc.description19 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0011096
dc.identifierhttp://arxiv.org/abs/hep-th/0011096
dc.identifierJ.Phys.A34:4129-4142,2001
dc.identifierdoi:10.1088/0305-4470/34/19/311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185494
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleNew Solvable Singular Potentials
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