Unitary representations of the q-oscillator algebra

DOI10.1088/0305-4470/27/6/027zbMath0834.17029OpenAlexW2067357869MaRDI QIDQ4861956

Harald Grosse, Masud Chaichian, P. Prešnajder

Publication date: 31 March 1996

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

Full work available at URL: https://doi.org/10.1088/0305-4470/27/6/027

zbMATH Keywords

unitary irreducible representations\(q\)-oscillator algebranon-Fock representation

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 (11)

Recursively minimally-deformed oscillators ⋮ Hilbert space representations of cross product algebras. II. ⋮ Hilbert space representations of cross product algebras ⋮ Deformed Heisenberg algebra: origin of \(q\)-calculus ⋮ Integrable representations of the ultra-commutation relations ⋮ Hopf-type deformed oscillators, their quantum double and a \(q\)-deformed Calogero-Vasiliev algebra. ⋮ An operator-theoretic approach to invariant integrals on quantum homogeneous \(\text{SU}_{n,1}\)-spaces ⋮ The inhomogeneous quantum invariance group of the two parameter deformed boson algebra ⋮ Two-sided Weighted Shifts Are ‘Almost Krein’ Normal ⋮ VENEZIANO AMPLITUDES, SPIN CHAINS, AND STRING MODELS ⋮ Representations of the deformed oscillator algebra for different choices of generators

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