Jenia Rousseva and Alejandro Uribe
Reduction and Coherent States
(1135K, pdf)

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 (definition 
ef{TheDef}) with excellent semi-classical properties, 
governed by a symbol calculus. We prove semiclassical norm estimates and a propagation result.