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.

中文翻译：

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约简和相干态

我们将降维的量子形式应用于Bargmann空间中的高斯相干态，以获得复杂射影空间上的压缩态。这导致了由符号演算决定的，具有优良半经典性质的压缩自旋状态家族的定义（定义1.13）。我们证明半经典范数估计和传播结果。