Action-angle coherent states for quantum systems with cylindric phase space
Quantum Physics
2015-06-03 v2 Mathematical Physics
math.MP
Abstract
Quantum versions of cylindric phase space, like for the motion of a particle on the circle, are obtained through different families of coherent states. The latter are built from various probability distributions of the action variable. The method is illustrated with Gaussian distributions and uniform distributions on intervals, and resulting quantizations are explored.
Cite
@article{arxiv.1111.4908,
title = {Action-angle coherent states for quantum systems with cylindric phase space},
author = {I. Aremua and J. P. Gazeau and M. N. Hounkonnou},
journal= {arXiv preprint arXiv:1111.4908},
year = {2015}
}