SUq(1,1) and the relativistic oscillator

DOI10.1088/0305-4470/24/18/016zbMath0753.58042OpenAlexW1973419659MaRDI QIDQ3991764

R. M. Mir-Kasimov

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/24/18/016

zbMATH Keywords

quantum symmetryHeisenberg-Weyl grouprelativistic oscillatordeformation parameter

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) Applications of global analysis to the sciences (58Z05)

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Difference Schrödinger equation and \(q\)-oscillator model ⋮ Covariant dynamics on the momentum space ⋮ Covariant dynamics on the energy-momentum space: scalar field theory ⋮ On Littlewood's boundedness problem for relativistic oscillators with anharmonic potentials ⋮ Two-parameter deformed SUSY algebra for Fibonacci oscillators ⋮ Aubry-Mather sets for relativistic oscillators with anharmonic potentials ⋮ Relativistic linear oscillator under the action of a constant external force. Transition amplitudes and the Green’s function ⋮ Relativistic quantum particle in a time-dependent homogeneous field ⋮ Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group ⋮ Bose–Einstein condensation in a gas of Fibonacci oscillators ⋮ On Classical and Quantum q-oscillators in the Relativistic Theory

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