English

Considerations of the duality in generalized coherent states formalism

Quantum Physics 2023-02-09 v1 Mathematical Physics math.MP

Abstract

In the paper, a pair of dual operators is introduced with which a dual pair of generalized displacement operators is constructed. With these entities it is shown that the Barut - Girardello and Klauder - Perelomov generalized coherent states are dual states. The characteristics of these coherent states are constructed, separately and comparatively.

Keywords

Cite

@article{arxiv.2302.04245,
  title  = {Considerations of the duality in generalized coherent states formalism},
  author = {Dušan Popov},
  journal= {arXiv preprint arXiv:2302.04245},
  year   = {2023}
}

Comments

26 pages, no figures