English

On Coherent States and q-Deformed Algebras

High Energy Physics - Theory 2016-11-03 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9309072,
  title  = {On Coherent States and q-Deformed Algebras},
  author = {Demosthenes Ellinas},
  journal= {arXiv preprint arXiv:hep-th/9309072},
  year   = {2016}
}

Comments

Presented at the 'International Symposium on Coherent States' June 1993, USA 14 pages, plain LATEX, FTUV/93-37, IFIC/93-20