Nonlinear shifts of q-Bose operators and q-coherent states

DOI10.1088/0305-4470/24/19/001zbMath0757.33007OpenAlexW2039883573MaRDI QIDQ3994203

Alexei Zhedanov

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/24/19/001

zbMATH Keywords

orthogonal polynomials\(q\)-coherent states\(q\)-oscillator\(q\)-Bose annihilation operator\(q\)-Bose creation operator

Mathematics Subject Classification ID

Coherent states (81R30) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Applications of basic hypergeometric functions (33D90)

Related Items (5)

Weyl shift of \(q\)-oscillator and \(q\)-polynomials ⋮ New deformed boson algebra ⋮ Coherent transform of the spectral problem and algebras with nonlinear commutation relations. ⋮ Classical and quantum Heisenberg groups, their representations and applications ⋮ Q rotations and other Q transformations as unitary nonlinear automorphisms of quantum algebras

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