New classes of quasi-solvable potentials, their exactly solvable limit, and related orthogonal polynomials
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Publication:4832796
DOI10.1063/1.1509852zbMath1060.81014arXivmath-ph/0212045OpenAlexW1994688918MaRDI QIDQ4832796
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0212045
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) Exactly and quasi-solvable systems arising in quantum theory (81U15)
Cites Work
- Supersymmetry breaking with periodic potentials
- Duality and self-duality (Energy reflection symmetry) of quasi-exactly solvable periodic potentials
- Quasi-exactly-solvable problems and sl(2) algebra
- ASSOCIATED LAMÉ EQUATION, PERIODIC POTENTIALS AND sl(2, ℝ)
- GENERATING COMPLEX POTENTIALS WITH REAL EIGENVALUES IN SUPERSYMMETRIC QUANTUM MECHANICS
- Lame equation, sl(2) algebra and isospectral deformations
- A search for shape-invariant solvable potentials
- A new algebraization of the Laméequation
- New solvable and quasiexactly solvable periodic potentials
- Associated Lamé and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials
- Quasi-exactly solvable systems and orthogonal polynomials
- Quasi-exactly solvable potentials on the line and orthogonal polynomials
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