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Reduction and coherent states

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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.

Keywords: reduction coherent; reduction; coherent states

Journal Title: Letters in Mathematical Physics
Year Published: 2020

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