Reduction and Coherent States
arXiv:2008.04406 · doi:10.1007/s11005-021-01398-x
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.
33 pages, 4 figures