Orthogonal polynomials from Hermitian matrices. II

DOI10.1063/1.5021462zbMath1387.81213arXiv1604.00714OpenAlexW2134972226MaRDI QIDQ3134140

Ryu Sasaki, Satoru Odake

Publication date: 8 February 2018

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

Full work available at URL: https://arxiv.org/abs/1604.00714

zbMATH Keywords

orthogonal polynomials of a discrete variableeigenvalue problem of Hermitian matricesmatrix version of exactly solvable Schrödinger equations

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) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Hermitian, skew-Hermitian, and related matrices (15B57) Other functions coming from differential, difference and integral equations (33E30) Additive difference equations (39A10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (5)

Exactly solvable discrete time birth and death processes ⋮ Markov chains generated by convolutions of orthogonality measures ⋮ Discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts ⋮ Recurrence relations of the multi-indexed orthogonal polynomials V: Racah and q -Racah types ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. VI. Meixner–Pollaczek and continuous Hahn types

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