Charlier Polynomials and Translational Invariance in the Quantum Harmonic Oscillator

DOI<163::AID-MANA163>3.0.CO;2-W 10.1002/1522-2616(200207)241:1<163::AID-MANA163>3.0.CO;2-WzbMath0995.33005OpenAlexW1986719206MaRDI QIDQ4543838

Franciszek Hugon Szafraniec

Publication date: 8 August 2002

Full work available at URL: https://doi.org/10.1002/1522-2616(200207)241:1<163::aid-mana163>3.0.co;2-w

zbMATH Keywords

Hermite polynomialscreation operatorweighted shiftCharlier polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Linear difference operators (47B39)

Related Items (4)

Unbounded subnormal weighted shifts on directed trees ⋮ Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier ⋮ A characterization of the Hamiltonian ⋮ How to recognize the creation operator

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