无限经典格点的代数理论III：单测量理论
An algebraic theory of infinite classical lattices III: Theory of single measurements
摘要：
这是第三次在一系列文件处理代数理论的无限经典格。本文提出了一种理论，我们表示为包括一个有限的子体积-测量系统-沉浸在一个无限的包围或“热浴”，这决定了系统的状态的晶格上的单测量。我们考虑无限格点的微正则态集合上的所有平稳分布类。该理论解决了这样一个问题：“对于一个初始处于状态A的晶格，比如说，某个量的测量值在（a，b）中取值的概率是多少？讨论包括描述测量中的随机性来源以及给定状态A的表征。
英文摘要：
This is the third in a series of papers dealing with the algebraic theory of infinite classical lattices. This paper presents a theory of single measurements on a lattice which we represent as comprising a finite subvolume--the system of measurement--immersed in an infinite surround or ``heat bath'' which determines the system's state. We consider the class of all stationary distributions on the set of microcanonical states of the infinite lattice. The theory addresses the question, ``For a lattice initially in state A, say, what is the probability that measurement of a certain quantity will take a value in (a,b)?'' Discussion includes description of the source of randomness in a measurement as well as characterization of the given states A.
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