The \(q\)-deformed oscillator representations and their coherent states of the \(su(1,1)\) algebra

DOI10.1016/S0034-4877(97)85926-5zbMath0943.81017arXivq-alg/9707033OpenAlexW2013015657MaRDI QIDQ1387186

Phillial Oh, Chaiho Rim

Publication date: 10 September 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9707033

zbMATH Keywords

coherent statesCasimir invariant\(q\)-deformed algebra\(q\)-deformed oscillator representationsDyson representationFock-Bargmann representationHolstein-Primakoff representation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Coherent states (81R30)

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Cites Work

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• Differential calculus on quantum spheres
• Classical and quantum mechanics of non-Abelian Chern-Simons particles
• Holstein–Primakoff Realizations on Coadjoint Orbits
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• Mean-field generation of the classical g-deformation of su(3)
• q-deformed oscillator associated with the Calogero model and its q-coherent state

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