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arXiv · hep-th/9308119

Coherent States, Dynamics and Semiclassical Limit on Quantum Groups

I. Ya. Aref'eva·R. Parthasarathy·K. S. Viswanathan·I. V. Volovich
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Abstract

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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I. Ya. Aref'eva, R. Parthasarathy, K. S. Viswanathan, I. V. Volovich. 1993-08-25. Coherent States, Dynamics and Semiclassical Limit on Quantum Groups. https://doi.org/10.1142/s0217732394000502

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