A general theorem on square-integrability: Vector coherent states
A general theorem on square-integrability: Vector coherent states
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平方可积性的一般定理：矢量相干态
DOI：
10.1063/1.532478
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发表时间：
1998
影响因子：
1.3
通讯作者：
S. T. Ali
中科院分区：
文献类型：
--
作者：
S. T. Ali
我们推广了关于局部紧群的酉不可约表示的平方可积性的著名定理。该推广涵盖了允许矢量相干态的表示的情况。从等时伽利莱群引出的一个例子说明了这一结果。这种结构产生了各种各样的相干态，由相空间点标记，满足恒等式条件的分辨率，并包含自旋自由度。
We derive a generalization of the well-known theorem for the square integrability of a unitary irreducible representation of a locally compact group. The generalization covers the case of representations admitting vector coherent states. The result is illustrated by an example drawn from the isochronous Galilei group. The construction yields a wide variety of coherent states, labeled by phase space points, which satisfy a resolution of the identity condition, and incorporate spin degrees of freedom.