REVISITING (QUASI-)EXACTLY SOLVABLE RATIONAL EXTENSIONS OF THE MORSE POTENTIAL
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Publication:2919237
DOI10.1142/S0217751X1250073XzbMath1247.81156arXiv1203.1812OpenAlexW3122859321MaRDI QIDQ2919237
Publication date: 2 October 2012
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.1812
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60)
Related Items (20)
A short note on ``Group theoretic approach to rationally extended shape invariant potentials ⋮ Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials ⋮ Generation of a novel exactly solvable potential ⋮ Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability ⋮ Generalized Langer correction and the exactness of WKB for all conventional potentials ⋮ Scattering amplitudes for the rationally extended \(PT\) symmetric complex potentials ⋮ Inter-relations between additive shape invariant superpotentials ⋮ Exactness of SWKB for shape invariant potentials ⋮ Recurrence relations of the multi-indexed orthogonal polynomials ⋮ Non-polynomial extensions of solvable potentials à la Abraham-Moses ⋮ Extending Romanovski polynomials in quantum mechanics ⋮ Rational extension and Jacobi-type X m solutions of a quantum nonlinear oscillator ⋮ Comments on the generalized SUSY QM partnership for Darboux-Pöschl-Teller potential and exceptional Jacobi polynomials ⋮ Extended Krein-Adler theorem for the translationally shape invariant potentials ⋮ The supersymmetric WKB formalism is not exact for all additive shape invariant potentials ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. III ⋮ Quantum oscillator and Kepler–Coulomb problems in curved spaces: Deformed shape invariance, point canonical transformations, and rational extensions ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. II ⋮ Casoratian identities for the Wilson and Askey-Wilson polynomials ⋮ Exactness of semiclassical quantization rule for broken supersymmetry
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