New q -Hermite polynomials: characterization, operators algebra and associated coherent states

DOI10.1002/PROP.201400052zbMath1338.81231arXiv1310.1280OpenAlexW1931334352MaRDI QIDQ2814234

Won-Sang Chung, Arjika Sama, Mahouton Norbert Hounkonnou

Publication date: 20 June 2016

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1280

zbMATH Keywords

\(q\)-derivativecoherent states\(q\)-integral\(q\)-chain rule\(q\)-Hermite polynomialphase collapse

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum chaos (81Q50) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Many-body theory; quantum Hall effect (81V70) Coherent states (81R30) Chain complexes in algebraic topology (55U15)

Related Items (2)

Difference equations of \(q\)-Appell polynomials ⋮ Multi-dimensional q-deformed bosonic Newton oscillators and the related q-calculus, q-coherent states, and Hermite q-polynomials

Cites Work

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