New quasi-exactly solvable class of generalized isotonic oscillators

DOI10.1088/1751-8113/47/39/395305zbMath1300.81032arXiv1401.6565OpenAlexW1991979088WikidataQ57999143 ScholiaQ57999143MaRDI QIDQ2925162

Ian Marquette, Davids Agboola, J. R. Links, Yao-Zhong Zhang

Publication date: 20 October 2014

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

Full work available at URL: https://arxiv.org/abs/1401.6565

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Operator algebra methods applied to problems in quantum theory (81R15) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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