Shape invariant rational extensions and potentials related to exceptional polynomials

DOI10.1142/S0217751X15501468zbMath1338.81221arXiv1503.01394OpenAlexW1556405280MaRDI QIDQ2809055

R. Sandhya, S. Sree Ranjani, A. K. Kapoor

Publication date: 27 May 2016

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01394

zbMATH Keywords

exceptional orthogonal polynomialsshape invarianceexactly solvable modelsrational potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Other special orthogonal polynomials and functions (33C47) Isospectrality (58J53) Special quantum systems, such as solvable systems (81Q80)

Related Items

Shape invariant potentials in higher dimensions, Generation of a novel exactly solvable potential, Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials, The supersymmetric WKB formalism is not exact for all additive shape invariant potentials, Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties

Cites Work

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