Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems
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Publication:4260489
DOI10.1063/1.532442zbMath1042.81528arXivquant-ph/9711001OpenAlexW2028101557MaRDI QIDQ4260489
Avinash Khare, Bhabani Prasad Mandal
Publication date: 15 December 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/9711001
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)
Related Items (7)
QES SYSTEMS, INVARIANT SPACES AND POLYNOMIALS RECURSIONS ⋮ EIGENENERGIES FOR THE RAZAVY POTENTIAL V(x) = (ζ cosh 2x-M)2 USING THE ASYMPTOTIC ITERATION METHOD ⋮ Dirac equation with complex potentials ⋮ A QES band-structure problem in one dimension ⋮ A PT-invariant potential with complex QES eigenvalues ⋮ A number of quasiexactly solvable N-body problems ⋮ Type A \(N\)-fold supersymmetry and generalized Bender-Dunne polynomials
Cites Work
- Do quasi-exactly solvable systems always correspond to orthogonal polynomials?
- Bender–Dunne Orthogonal Polynomials General Theory
- Anti-Isospectral Transformations in Quantum Mechanics
- Exact Thermodynamics of the Double sinh-Gordon Theory in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>Dimensions
- Quasi-exactly solvable systems and orthogonal polynomials
- Quasi-exactly solvable potentials on the line and orthogonal polynomials
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