Stable coherent states
General Relativity and Quantum Cosmology
2016-04-20 v1 Mathematical Physics
math.MP
Abstract
We analyze the stability under time evolution of complexifier coherent states (CCS) in one-dimensional mechanical systems. A system of coherent states is called stable if it evolves into another coherent state. It turns out that a system can only poses stable CCS if the classical evolution of the variable for a given complexifier C depends only on z itself and not on its complex conjugate. This condition is very restrictive in general so that only few systems exist that obey this condition. However, it is possible to access a wider class of models that in principle may allow for stable coherent states associated to certain regions in the phase space by introducing action-angle coordinates.
Cite
@article{arxiv.1506.08613,
title = {Stable coherent states},
author = {Antonia Zipfel and Thomas Thiemann},
journal= {arXiv preprint arXiv:1506.08613},
year = {2016}
}