English

Generalized coherent and intelligent states for exact solvable quantum systems

Mathematical Physics 2009-11-10 v1 math.MP

Abstract

The so-called Gazeau-Klauder and Perelomov coherent states are introduced for an arbitrary quantum system. We give also the general framework to construct the generalized intelligent states which minimize the Robertson-Schr\"odinger uncertainty relation. As illustration, the P\"oschl-Teller potentials of trigonometric type will be chosen. We show the advantage of the analytical representations of Gazeau-Klauder and Perelomov coherent states in obtaining the generalized intelligent states in analytical way.

Keywords

Cite

@article{arxiv.math-ph/0312040,
  title  = {Generalized coherent and intelligent states for exact solvable quantum systems},
  author = {A. H. El Kinani and M. Daoud},
  journal= {arXiv preprint arXiv:math-ph/0312040},
  year   = {2009}
}
R2 v1 2026-07-22T16:23:46.290Z