\(gl_{q,q^*}(n)\)-covariant multimode oscillators and \(q\)-symmetric states

DOI10.1007/BF02435724zbMath0894.17013OpenAlexW1981684843MaRDI QIDQ1388194

D. Massart

Publication date: 18 August 1998

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02435724

zbMATH Keywords

complex deformationoscillator algebra\(q\)-symmetric states

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)

Cites Work

• Twisted second quantization
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Generalized deformed oscillator and nonlinear algebras
• On the number operators of multimode systems of deformed oscillators covariant under quantum groups
• New deformed boson algebra
• Hilbert spaces of analytic functions and generalized coherent states

This page was built for publication: \(gl_{q,q^*}(n)\)-covariant multimode oscillators and \(q\)-symmetric states