A Jordanian quantum two-photon/Schrödinger algebra

DOI10.1088/0305-4470/30/24/019zbMath0940.81028arXivq-alg/9706014OpenAlexW3102924288MaRDI QIDQ4255686

Preeti Parashar, Ángel Ballesteros, Francisco J. Herranz

Publication date: 19 August 1999

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

Full work available at URL: https://arxiv.org/abs/q-alg/9706014

zbMATH Keywords

representationsFock spaceSchrödinger algebratwo-photon algebranon-standard quantum deformationFock-Bargmann realizationsnon-standard Hopf algebraquantum universal \(R\)-matrix

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)

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Time-dependent formulation of the linear unitary transformation and the time evolution of general time-dependent quadratic Hamiltonian systems ⋮ On vertex algebra representations of the Schrödinger-Virasoro Lie algebra ⋮ NONRELATIVISTIC HOLOGRAPHY — A GROUP-THEORETICAL PERSPECTIVE ⋮ Twist of Lie algebras by 6-dimensional subalgebra ⋮ Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra

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