Symmetries and Groups in Contemporary Physics
Symmetries and Groups in Contemporary Physics
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当代物理学中的对称性和群
DOI：
10.1142/9789814518550_0015
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
CORRIGAN E
中科院分区：
文献类型：
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作者：
CORRIGAN E
通常，相干态族是一组连续标记的量子态，具有特定的数学和物理性质，根据这些性质，任意量子态可以表示为线性叠加。由于相干态是连续标记的，它们在希尔伯特态空间中形成过完备的矢量集。关于相干态的文献是大量的;我们在这里只提到两本书，1，3评论文章2和最近的物理学杂志特刊4，其中包含详细的参考书目和广泛的论文选择，有些是评论性质的，涉及这个主题的许多方面。我们今天所说的相干态，最初是由薛定谔（1926）引入物理学的，作为一个量子态族，根据它可以方便地研究从量子力学到经典力学的过渡。这些态，薛定谔不称之为相干态，具有最小测不准性质，在这个意义上，它们饱和了海森堡测不准关系。相干态这个名字是在格劳伯、克劳德和苏达山在量子光辐射的背景下重新发现这些态时使用的。结果表明，在这些态下，量子光场的关联函数
Very generally, a family of coherent states is a set of continuously labeled quantum states, with specific mathematical and physical properties, in terms of which arbitrary quantum states can be expressed as linear superpositions. Since coherent states are continuously labeled, they form overcomplete sets of vectors in the Hilbert space of states. The literature on coherent states is vast; we only mention here the two books, 1, 3 the review article2 and the recent special issue4 of the Journal of Physics, which contains a detailed bibliography and a wide selection of papers, some of a review nature, touching on many aspects of the subject. What we call coherent states today, were originally these introduced into physics by Schrödinger (1926), as a family of quantum states in terms of which the transition from quantum to classical mechanics could be conveniently studied. These states, which were not called coherent states by Schrödinger, have the minimal uncertainty property, in the sense that they saturate the Heisenberg uncertainty relations. The name coherent state was applied when these states were rediscovered in the context of quantum optical radiation by Glauber, Klauder and Sudarshan. It was demonstrated that in these states the correlation functions of the quantum optical field