ASSOCIATED LAMÉ EQUATION, PERIODIC POTENTIALS AND sl(2, ℝ)

DOI10.1142/S0217732300002346zbMath0973.81009arXivmath-ph/0204026OpenAlexW3103255513MaRDI QIDQ2710928

Asish Ganguly

Publication date: 2 May 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0204026

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (6)

Associated Lamé and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials ⋮ New classes of quasi-solvable potentials, their exactly solvable limit, and related orthogonal polynomials ⋮ Soliton lattice and single soliton solutions of the associated Lamé and Lamé potentials ⋮ Hidden nonlinear \(\mathrm{su}(2| 2)\) superunitary symmetry of \(N=2\) superextended 1D Dirac delta potential problem ⋮ New supersymmetric partners for the associated Lamé potentials ⋮ Duality and self-duality (Energy reflection symmetry) of quasi-exactly solvable periodic potentials

Cites Work

• Supersymmetry breaking with periodic potentials
• Quantized Neumann problem, separable potentials on S n and the Lamè equation
• Quasi-exactly solvable systems and orthogonal polynomials

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