On the representations of a Q-oscillator algebra

DOI10.1063/1.532502zbMath0986.81046OpenAlexW2039431202MaRDI QIDQ4701690

Alain Guichardet

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532502

zbMATH Keywords

irreducible representationcrossed productsArik-Coon oscillator algebraconstruction of \(C^*\)-algebras

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of selfadjoint operator algebras to physics (46L60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• Twisted second quantization
• Contraction of quantum algebras and \(q\) oscillators
• Quantum \(E(2)\) group and its Pontryagin dual
• On the representations of quantum oscillator algebra
• Algebra of functions on the quantum group SU(2)
• Covariant representations of \(C^ *\)-algebras and their locally compact automorphism groups
• Uncertainty relation in quantum mechanics with quantum group symmetry
• Hilbert spaces of analytic functions and generalized coherent states