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