Reduction and Coherent States
Mathematical Physics
2021-05-05 v1 math.MP
Abstract
We apply a quantum version of dimensional reduction to Gaussian coherent states in Bargmann space to obtain squeezed states on complex projective spaces. This leads to a definition of a family of squeezed spin states with excellent semi-classical properties, governed by a symbol calculus. We prove semiclassical norm estimates and a propagation result.
Cite
@article{arxiv.2008.04406,
title = {Reduction and Coherent States},
author = {Jenia Rousseva and Alejandro Uribe},
journal= {arXiv preprint arXiv:2008.04406},
year = {2021}
}
Comments
33 pages, 4 figures