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arXiv · hep-th/9309072

On Coherent States and q-Deformed Algebras

Demosthenes Ellinas
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Abstract

We review some aspects of the relation between ordinary coherent states and q-deformed generalized coherent states with some of the simplest cases of quantum Lie algebras. In particular, new properties of (q-)coherent states are utilized to provide a path integral formalism allowing to study a modified form of q-classical mechanics, to probe some geometrical consequences of the q-deformation and finally to construct Bargmann complex analytic realizations for some quantum algebras.

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Demosthenes Ellinas. 1993-09-13. On Coherent States and q-Deformed Algebras. https://doi.org/10.1142/9789814503839_0010

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