SUq(1,1) and the relativistic oscillator
- 21 September 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (18) , 4283-4302
- https://doi.org/10.1088/0305-4470/24/18/016
Abstract
It is shown that the generalization of the quantum harmonic oscillator to the case of the relativistic configurational space is a q-oscillator. The corresponding group of dynamical symmetry is the quantum group SUq(1,1). The deformation parameter being q=e- omega omega 0/ where omega 0=4mc2 and omega is a frequency of the oscillator. The deformed creation and annihilation operators are finite difference ones. The corresponding deformation of the Heisenberg-Weyl group and new coherent states are also considered.Keywords
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