Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism

DOI10.1063/1.3458866zbMath1312.81091arXiv0903.2604OpenAlexW3106535324MaRDI QIDQ5253711

Satoru Odake, Ryu Sasaki

Publication date: 27 May 2015

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

Full work available at URL: https://arxiv.org/abs/0903.2604

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) Discrete version of topics in analysis (39A12) Special quantum systems, such as solvable systems (81Q80)

Related Items (11)

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 ⋮ Hypercomplex Fock states for discrete electromagnetic Schrödinger operators: a Bayesian probability perspective ⋮ From ordinary to discrete quantum mechanics: the Charlier oscillator and its coalgebra symmetry ⋮ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra ⋮ Exactly and quasi-exactly solvable ‘discrete’ quantum mechanics ⋮ Solvable discrete quantum mechanics: q-orthogonal polynomials with q=1 and quantum dilogarithm ⋮ Perturbations around the zeros of classical orthogonal polynomials ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. II ⋮ Orthogonal polynomials from Hermitian matrices. II

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