Bender–Dunne Orthogonal Polynomials General Theory

DOI10.1142/S0217732397001163zbMath1022.81503OpenAlexW2157947789WikidataQ62397670 ScholiaQ62397670MaRDI QIDQ2728423

Zbigniew Walczak, Agnieszka Krajewska, A. G. Ushveridze

Publication date: 1 August 2001

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

Full work available at URL: https://doi.org/10.1142/s0217732397001163

Mathematics Subject Classification ID

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 (8)

Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems ⋮ A Unifying E2-Quasi Exactly Solvable Model ⋮ Associated Lamé and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials ⋮ Bethe ansatz solutions and hidden \(sl(2)\) algebraic structure for a class of quasi-exactly solvable systems ⋮ Do quasi-exactly solvable systems always correspond to orthogonal polynomials? ⋮ A new non-Hermitian \(E_2\)-quasi-exactly solvable model ⋮ A number of quasiexactly solvable N-body problems ⋮ SOLUTION FOR THE EIGENENERGIES OF SEXTIC ANHARMONIC OSCILLATOR POTENTIAL V(x)=A₆x⁶+A₄x⁴+A₂x²

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