On Coherent States and q-Deformed Algebras
arXiv:hep-th/9309072 · doi:10.1142/9789814503839_0010
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.
Presented at the 'International Symposium on Coherent States' June 1993, USA 14 pages, plain LATEX, FTUV/93-37, IFIC/93-20