The Trigonometric Rosen-Morse Potential in the Supersymmetric Quantum Mechanics and its Exact Solutions

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dc.creatorCompean, C. B.
dc.creatorKirchbach, M.
dc.date2005-09-07
dc.date2005-09-22
dc.date.accessioned2026-07-07T06:25:12Z
dc.date.available2026-07-07T06:25:12Z
dc.descriptionThe analytic solutions of the one-dimensional Schroedinger equation for the trigonometric Rosen-Morse potential reported in the literature rely upon the Jacobi polynomials with complex indices and complex arguments. We first draw attention to the fact that the complex Jacobi polynomials have non-trivial orthogonality properties which make them uncomfortable for physics applications. Instead we here solve above equation in terms of real orthogonal polynomials. The new solutions are used in the construction of the quantum-mechanic superpotential.
dc.description16 pages 7 figures 1 table
dc.identifierhttps://arxiv.org/abs/quant-ph/0509055
dc.identifierhttp://arxiv.org/abs/quant-ph/0509055
dc.identifierJ.Phys. A39 (2006) 547-558
dc.identifierdoi:10.1088/0305-4470/39/3/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96777
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectNuclear Theory
dc.titleThe Trigonometric Rosen-Morse Potential in the Supersymmetric Quantum Mechanics and its Exact Solutions
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