Integrable systems on the lattice and orthogonal polynomials of discrete variable

DOI10.1016/S0377-0427(02)00592-7zbMath1017.37038arXivmath-ph/0401051MaRDI QIDQ1874169

Miguel Lorente

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0401051

zbMATH Keywords

orthogonal polynomialsintegrable systemsdifference equationsdiscrete modelsraising and lowering operators

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Relative Fisher information of discrete classical orthogonal polynomials ⋮ \(d\)-orthogonality and \(q\)-Askey-scheme ⋮ Recurrence relations for discrete hypergeometric functions ⋮ \textit{À la carte} recurrence relations for continuous and discrete hypergeometric functions ⋮ Haydock's recursive solution of self-adjoint problems. Discrete spectrum ⋮ The discrete and periodic heat and harmonic oscillator equation

Cites Work

• Raising and lowering operators, factorization and differential/difference operators of hypergeometric type
• Meixner–Pollaczek polynomials and the Heisenberg algebra
• Quantum integrable systems and Clebsch - Gordan series. I
• Continuous vs. discrete models for the quantum harmonic oscillator and the hydrogen atom
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