( R , p , q ) -deformed quantum algebras: Coherent states and special functions

DOI10.1063/1.3429996zbMath1311.81154OpenAlexW1968789596MaRDI QIDQ5251290

Mahouton Norbert Hounkonnou, Joseph Désiré Bukweli-Kyemba

Publication date: 19 May 2015

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

Full work available at URL: https://doi.org/10.1063/1.3429996

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) Coherent states (81R30) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (11)

ℛ(p,q)-deformed super Virasoro n-algebras ⋮ On the dimensions of oscillator algebras induced by orthogonal polynomials ⋮ Pöschl-Teller Hamiltonian: Gazeau-Klauder type coherent states, related statistics, and geometry ⋮ \((q;l,\lambda)\)-deformed Heisenberg algebra: coherent states, their statistics and geometry ⋮ Quantum polynomials from deformed quantum algebras: Probability distributions, generating functions and difference equations ⋮ Generalized Heisenberg–Virasoro algebra and matrix models from quantum algebra ⋮ \( \mathcal{R}(p,q)\)-multivariate discrete probability distributions ⋮ Unnamed Item ⋮ R ( p , q ) -deformed conformal Virasoro algebra ⋮ ( ℛ , p , q ) $$( \mathcal {R}, p,q)$$ -Rogers–Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras ⋮ Generalized Witt, Witt n-algebras, Virasoro algebras and KdV equations induced from ℛ(p,q)-deformed quantum algebras

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