A class of orthogonal polynomials suggested by a trigonometric Hamiltonian: Antisymmetric states

DOI10.1007/S10910-004-1104-1zbMath1080.33010OpenAlexW2038214513MaRDI QIDQ2485898

Hasan Taşeli

Publication date: 5 August 2005

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-004-1104-1

zbMATH Keywords

Schrödinger equationclassical orthogonal polynomialsspecial functionsexactly solvable Hamiltonians

Mathematics Subject Classification ID

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) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Exactly soluble Hamiltonian with a squared cotangent potential
• A class of orthogonal polynomials suggested by a trigonometric Hamiltonian: Symmetric states

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