Discussion of probability relations between separated systems
Discussion of probability relations between separated systems
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DOI：
10.1017/s0305004100013554
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发表时间：
1935-01-01
影响因子：
--
通讯作者：
Schrodinger, E
中科院分区：
文献类型：
--
作者：
Schrodinger, E
本文讨论了两个分离的物理系统之间可能发生的概率关系，假设它们的状态是由一个共同的代表所知道的。分别与第一个和第二个系统有关的两个可观测量族，通过两个确定成员之间的至少一个匹配而联系起来，其中一个属于任一族。匹配这个词是简短的，说明两个观测值的问题确定彼此唯一的，因此（因为实际的标签是无关紧要的）可以被视为相等。一般来说，只有一场比赛，但可以有更多。如果除了第一个匹配之外，第一个配对的正则共轭之间还有第二个匹配，那么就有无限多个匹配，第一个正则对的每个函数都与第二个正则对的同一个函数匹配。因此，在与所讨论的两个自由度有关的这两个分支（属于两个观测量族）之间存在着完全的一一对应。如果没有其他系统，那么随着时间的推移，一一对应仍然存在，但是第一个系统的可观测量（比如说）改变它们的配偶，后者，即第二个系统的可观测量，经历某种连续的接触变换。
The probability relations which can occur between two separated physical systems are discussed, on the assumption that their state is known by a representative in common. The two families of observables, relating to the first and to the second system respectively, are linked by at least one match between two definite members, one of either family. The word match is short for stating that the values of the two observables in question determine each other uniquely and therefore (since the actual labelling is irrelevant) can be taken to be equal. In general there is but one match, but there can be more. If, in addition to the first match, there is a second one between canonical conjugates of the first mates, then there are infinitely many matches, every function of the first canonical pair matching with the same function of the second canonical pair. Thus there is a complete one-to-one correspondence between those two branches (of the two families of observables) which relate to the two degrees of freedom in question. If there are no others, the one-to-one correspondence persists as time advances, but the observables of the first system (say) change their mates in the way that the latter, i.e. the observables of the second system, undergo a certain continuous contact-transformation.