标题： 无限经典格的代数理论 III：单次测量理论 显示英文标题

标题： An algebraic theory of infinite classical lattices III: Theory of single measurements

摘要： 这是系列论文中的第三篇，讨论无限经典格点的代数理论。 本文提出了一种在格点上的单次测量理论，我们将其表示为包含一个有限子体积——测量系统——浸入无限周围环境或“热浴”中，该热浴决定了系统的状态。 我们考虑无限格点微观正则态集合上所有平稳分布的类。 该理论解决了这样一个问题：“对于初始处于状态A的格点，测量某一物理量得到值在(a,b)之间的概率是多少？” 讨论包括对测量中随机性来源的描述以及对给定状态A的特征描述。 显示英文摘要

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.