Do quasi-exactly solvable systems always correspond to orthogonal polynomials?

DOI10.1016/S0375-9601(97)00897-9zbMath1044.81549arXivphysics/9709043MaRDI QIDQ1966605

Avinash Khare, Bhabani Prasad Mandal

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/9709043

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of hypergeometric functions (33C90)

Related Items (9)

Complex periodic potentials with a finite number of band gaps ⋮ Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems ⋮ QES SYSTEMS, INVARIANT SPACES AND POLYNOMIALS RECURSIONS ⋮ On solvability and integrability of the Rabi model ⋮ Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians ⋮ Haydock's recursive solution of self-adjoint problems. Discrete spectrum ⋮ A number of quasiexactly solvable N-body problems ⋮ Type A \(N\)-fold supersymmetry and generalized Bender-Dunne polynomials ⋮ Analytical results of zero-gap states in periodic potentials

Cites Work

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• Bender–Dunne Orthogonal Polynomials General Theory
• Anti-Isospectral Transformations in Quantum Mechanics
• Novel correlations in two dimensions: Two-body problem
• Quasi-exactly solvable systems and orthogonal polynomials
• Quasi-exactly solvable potentials on the line and orthogonal polynomials

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