Coherent States, Dynamics and Semiclassical Limit on Quantum Groups

Details Coherent States, Dynamics and Semiclassical Limit on Quantum Groups Coherent States, Dynamics and Semiclassical Limit on Quantum Groups

1993-08-25

arxiv.org/abs/hep-th/9308119v1

Mod.Phys.Lett.A9:689-704,1994

Physics

High Energy Physics

High Energy Physics - Theory

20 pages in latex, SFU-HEP-108-93

Scientific paper

10.1142/S0217732394000502

Coherent states on the quantum group $SU_q(2)$ are defined by using harmonic analysis and representation theory of the algebra of functions on the quantum group. Semiclassical limit $q\rightarrow 1$ is discussed and the crucial role of special states on the quantum algebra in an investigation of the semiclassical limit is emphasized. An approach to $q$-deformation as a $q$-Weyl quantization and a relavence of contact geometry in this context is pointed out. Dynamics on the quantum group parametrized by a real time variable and corresponding to classical rotations is considered.

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