English

Semi-classical behavior of P\"oschl-Teller coherent states

Quantum Physics 2010-07-23 v1 Mesoscale and Nanoscale Physics Mathematical Physics math.MP

Abstract

We present a construction of semi-classical states for P\"oschl-Teller potentials based on a supersymmetric quantum mechanics approach. The parameters of these "coherent" states are points in the classical phase space of these systems. They minimize a special uncertainty relation. Like standard coherent states they resolve the identity with a uniform measure. They permit to establish the correspondence (quantization) between classical and quantum quantities. Finally, their time evolution is localized on the classical phase space trajectory.

Keywords

Cite

@article{arxiv.1007.3876,
  title  = {Semi-classical behavior of P\"oschl-Teller coherent states},
  author = {H. Bergeron and J. -P. Gazeau and P. Siegl and A. Youssef},
  journal= {arXiv preprint arXiv:1007.3876},
  year   = {2010}
}

Comments

7 pages, 2 figures, 1 animation