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… Click to show full 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 1.13 ) with excellent semiclassical properties, governed by a symbol calculus. We prove semiclassical norm estimates and a propagation result.
               
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