On the explanation for quantum statistics

Details On the explanation for quantum statistics On the explanation for quantum statistics

2005-11-15

arxiv.org/abs/quant-ph/0511136v1

Physics

Quantum Physics

23 pages, 3 figures; to appear in Studies in the History and Philosophy of Modern Physics

Scientific paper

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.

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