Vector coherent state representations and their inner products
Vector coherent state representations and their inner products
复制标题
矢量相干态表示及其内积
DOI：
10.1088/1751-8113/45/24/244003
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
D. Rowe
中科院分区：
文献类型：
--
作者：
D. Rowe
一些进展扩展了相干态理论的力量和多功能性，使其成为李群及其李代数表示论的重要工具。代表性的应用进行了审查，并介绍了一些新的发展。给出的例子被选择来说明标量和矢量相干态结构的特殊功能，以及它们如何在实际情况下工作。比较与麦基的理论诱导表示。为了简单起见，我们专注于平方可积（离散级数）酉表示，虽然许多技术适用于更普遍的，轻微的调整。这篇文章是《物理学杂志A：数学与理论》特刊的一部分，专门讨论“相干态：数学与物理方面”。
Several advances have extended the power and versatility of coherent state theory to the extent that it has become a vital tool in the representation theory of Lie groups and their Lie algebras. Representative applications are reviewed and some new developments are introduced. The examples given are chosen to illustrate special features of the scalar and vector coherent state constructions and how they work in practical situations. Comparisons are made with Mackey's theory of induced representations. For simplicity, we focus on square integrable (discrete series) unitary representations although many of the techniques apply more generally, with minor adjustment. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Coherent states: mathematical and physical aspects’.