Operator identities in \(q\)-deformed Clifford analysis
DOI10.1007/s00006-011-0281-9zbMath1239.81049OpenAlexW2103363545MaRDI QIDQ411160
Kevin Coulembier, Fransiscus Sommen
Publication date: 4 April 2012
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-011-0281-9
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Clifford algebras, spinors (15A66)
Cites Work
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- The q-analogue of the Laguerre polynomials
- Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
- \(q\)-Laguerre polynomials and big \(q\)-Bessel functions and their orthogonality relations
- Correct rules for Clifford calculus on superspace
- q-deformed harmonic and Clifford analysis and theq-Hermite and Laguerre polynomials
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Algebraic q-integration and Fourier theory on quantum and braided spaces
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