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arXiv quant-ph/0511136quant-ph
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关于量子统计的解释

On the explanation for quantum statistics

Simon Saunders

摘要:

经典不可区分性的概念被分析并针对一些众所周知的批评进行辩护,特别关注吉布斯悖论。假设它在经典统计力学中和在量子力学中一样熟悉,那么问题就出现了,为什么量子力学中的不可测性而非经典力学中的不可测性会迫使统计学发生变化。用简单的例子说明,答案是经典相空间上的平衡测度是连续的,而在希尔伯特空间上它是离散的。还讨论了名称的相关性,或者等价地,可以用作名称的在时间上稳定的属性。

英文摘要:

The concept of classical indistinguishability is analyzed and defended against a number of well-known criticisms, with particular attention to the Gibbs' paradox. Granted that it is as much at home in classical as in quantum statistical mechanics, the question arises as to why indistinguishability, in quantum mechanics but not in classical mechanics, forces a change in statistics. The answer, illustrated with simple examples, is that the equilibrium measure on classical phase space is continuous, whilst on Hilbert space it is discrete. The relevance of names, or equivalently, properties stable in time that can be used as names, is also discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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