q-deformed oscillator algebra as a quantum group

DOI10.1088/0305-4470/23/22/001zbMath0708.17020OpenAlexW2165903320MaRDI QIDQ3490162

Hong Yan

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/22/001

zbMATH Keywords

quantum groupYang-Baxter equationR-matrixq-deformed oscillator algebra

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)

Related Items (8)

From the Wigner–Eckart theorem to the Hilbert–Schmidt scalar product for an adjoint representation of the quantum algebra Up,q(su2) ⋮ Generalized Holstein–Primakoff realizations and quantum group-theoretic coherent states ⋮ Higher moment properties of \(k\)-boson \(q\)-coherent states ⋮ Even and odd \(qs\)-coherent states and their photon-statistical properties ⋮ Hopf-type deformed oscillators, their quantum double and a \(q\)-deformed Calogero-Vasiliev algebra. ⋮ The symmetric q-oscillator algebra: q-coherent states, q-Bargmann–Fock realization and continuous q-Hermite polynomials with 0 < q < 1 ⋮ A \(q\)-Lorentz algebra from \(q\)-deformed harmonic oscillators ⋮ Representations of the deformed oscillator algebra for different choices of generators

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