Polynomial deformations of the Lie algebra \({\mathfrak {sl}} (2)\) in problems of quantum optics

DOI10.1007/BF01015889zbMath0848.17043MaRDI QIDQ1918685

V. P. Karasev

Publication date: 31 October 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum opticsdynamical symmetry algebraspolynomial deformations

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Quantum optics (81V80)

Related Items (1)

Fock spaces for the complex Dunkl operator and deformed \(\mathrm{su}(1,1)\) algebra

Cites Work

• Unnamed Item
• The quantum deformation of SU(1, 1) as the dynamical symmetry of the anharmonic oscillator
• Generalized q-bosons and their squeezed states
• Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model
• Squeezing and quantum groups
• A unitary representation of SL(2,R)
• Generalized Bose Operators in the Fock Space of a Single Bose Operator
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
• The Factorization Method

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