q-deformed harmonic and Clifford analysis and theq-Hermite and Laguerre polynomials

DOI10.1088/1751-8113/43/11/115202zbMath1193.81054arXiv1002.4987OpenAlexW2008802808MaRDI QIDQ3550157

Kevin Coulembier, Fransiscus Sommen

Publication date: 31 March 2010

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

Full work available at URL: https://arxiv.org/abs/1002.4987

zbMATH Keywords

eigenvectorrepresentationDirac operatorLaplace operator\(q\)-deformation\(q\)-Laguerre polynomial\(q\)-deformed Schrödinger equation\(q\)-Cliford-Hermite polynormal\(q\)-Euclidean space

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Clifford algebras, spinors (15A66) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Operator algebra methods applied to problems in quantum theory (81R15) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Related Items (5)

Generalized q-Laguerre type polynomials and q-partial differential equations ⋮ Operator identities in \(q\)-deformed Clifford analysis ⋮ A note on q-difference equations for Cigler’s polynomials ⋮ Some integrals involving \(q\)-Laguerre polynomials and applications ⋮ q-Laguerre polynomials and related q-partial differential equations

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