Extending the class of solvable potentials. I. The infinite potential well with a sinusoidal bottom

DOI10.1063/1.2963967zbMath1152.81313OpenAlexW2012176537MaRDI QIDQ5505008

H. Bahlouli, A. D. Alhaidari

Publication date: 23 January 2009

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

Full work available at URL: https://doi.org/10.1063/1.2963967

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) (2)-body potential quantum scattering theory (81U05) Applications of hypergeometric functions (33C90)

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Cites Work

• General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
• An extended class of \(L^2\)-series solutions of the wave equation
• Quasi exactly solvable operators and Lie superalgebras
• Duality in quantum Liouville theory.
• Solution of the Dirac equation by separation of variables in spherical coordinates for a large class of non-central electromagnetic potentials
• Comprehensive analysis of conditionally exactly solvable models
• On one-dimensional Schrödinger problems allowing polynomial solutions
• Charged particle in the field of an electric quadrupole in two dimensions
• The Factorization Method

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