作为广义可观量的次正规算子与SU（1，1）的复合系统型正规扩张
Subnormal operators regarded as generalized observables and compound-system-type normal extension related to su(1,1)
摘要：
本文讨论了次正规算子作为广义可观量的问题，这些次正规算子不一定是有界的。为了不仅描述它们的测量输出数据的概率分布信息，而且描述它们的实现框架，我们引入了复合系统型正规扩张的新概念，并导出了次正规算子的复合系统型正规扩张，它是由代数su（1，1）的不可约酉表示定义的.从这一观点出发，将压缩态刻画为一个算符的本征向量，并证明了多粒子系统中的压缩态是这些次正规算符在一个表象下伴随的本征向量.仿射相干态也在同样的背景下进行了讨论。
英文摘要：
In this paper, subnormal operators, not necessarily bounded, are discussed as generalized observables. In order to describe not only the information about the probability distribution of the output data of their measurement but also a framework of their implementations, we introduce a new concept compound-system-type normal extension, and we derive the compound-system-type normal extension of a subnormal operator, which is defined from an irreducible unitary representation of the algebra su(1,1). The squeezed states are characterized as the eigenvectors of an operator from this viewpoint, and the squeezed states in multi-particle systems are shown to be the eigenvectors of the adjoints of these subnormal operators under a representation. The affine coherent states are discussed in the same context, as well.
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