Quantum mechanics and polynomials of a discrete variable

DOI10.1006/aphy.1993.1072zbMath0784.35094OpenAlexW2001990917MaRDI QIDQ1309107

Luc Vinet, Jean LeTourneux, Roberto Floreanini

Publication date: 13 January 1994

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

Full work available at URL: https://doi.org/10.1006/aphy.1993.1072

zbMATH Keywords

orthogonal polynomialsSchrödinger equationgroup theoretical formulationdynamical symmetriesrecursive Lanczos method

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) PDEs in connection with quantum mechanics (35Q40) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (10)

The Dunkl-Coulomb problem in the plane ⋮ An algebraic interpretation of the \(q\)-Meixner polynomials ⋮ Stochastic integrals: A combinatorial approach ⋮ Symmetries of the heat equation on the lattice ⋮ Lie symmetries of finite-difference equations ⋮ Hypercomplex Fock states for discrete electromagnetic Schrödinger operators: a Bayesian probability perspective ⋮ Multiple q-Kravchuk polynomials ⋮ The oscillator model for the Lie superalgebra $\mathfrak {sh}(2|2)$sh(2|2) and Charlier polynomials ⋮ Heun algebras of Lie type ⋮ Difference Schrödinger operators with linear and exponential discrete spectra

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