Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials

DOI10.1063/1.3671966zbMath1273.81070arXiv1105.3670OpenAlexW3105054742MaRDI QIDQ2851687

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Publication date: 16 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3670

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Special quantum systems, such as solvable systems (81Q80)

Related Items (12)

Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials ⋮ Group theoretic approach to rationally extended shape invariant potentials ⋮ REVISITING (QUASI-)EXACTLY SOLVABLE RATIONAL EXTENSIONS OF THE MORSE POTENTIAL ⋮ Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability ⋮ Recurrence relations of the multi-indexed orthogonal polynomials ⋮ New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems ⋮ Extending Romanovski polynomials in quantum mechanics ⋮ Rational extension and Jacobi-type X m solutions of a quantum nonlinear oscillator ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. III ⋮ Generalized quantum nonlinear oscillators: Exact solutions and rational extensions ⋮ Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. II

Cites Work

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