Reduction and Coherent States

Published 10 Aug 2020 in math-ph and math.MP | (2008.04406v1)

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.

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