A note on (p, q)-oscillators and bibasic hypergeometric functions
From MaRDI portal
Publication:4290749
DOI10.1088/0305-4470/26/14/004zbMath0801.17016OpenAlexW1984008063MaRDI QIDQ4290749
Luc Vinet, Roberto Floreanini, Luc Lapointe
Publication date: 5 December 1994
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/26/14/004
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
Related Items (11)
( p , q ) deformations and (p,q)-vector coherent states of the Jaynes-Cummings model in the rotating wave approximation ⋮ On irreducible p, q‐representations of Lie algebras \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {G} (0,1)$\end{document} and \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {G} (0,0)$\end{document} ⋮ Representations of two parameter quantum algebras and \(p,q\)-special functions ⋮ \(U_{r,s}(\mathfrak{gl}_{4})\)-symmetry for \((r,s)\)-hypergeometric series. ⋮ Canonical and nonlinear vector coherent states of generalized models with spin-orbit interaction ⋮ ( ℛ , p , q ) $$( \mathcal {R}, p,q)$$ -Rogers–Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras ⋮ On models of certain \(p,q\)-algebra representations: the quantum Euclidean algebra \(\mathcal E _{p,q}(2)\) ⋮ Wick ordering associated with the \((p, q)\)-Gaussian white noise process ⋮ On models of certain p,q-algebra representations: The p,q-oscillator algebra ⋮ ( R , p , q ) -deformed quantum algebras: Coherent states and special functions ⋮ ( q , μ ) and (p,q,ζ)-exponential functions: Rogers–Szegő polynomials and Fourier–Gauss transform
This page was built for publication: A note on (p, q)-oscillators and bibasic hypergeometric functions
