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The study of large, complicated systems employing statistics and probability theory to extract average properties and to provide a connection between mechanics and thermodynamics.

4 votes
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Probability of finding n particles in a volume v

The discrepancy results from the fact that the first approach implicitly assume distinguish-ability while the second doesn't. Let's take a simple example: $n=1$,$N=2$, and there are two cells($v=\fr …
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2 votes
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Probability of having energy $E$ when $E$ is bounded

A similar problem ever puzzled me for a while. That was the spin-$\frac{1}{2}$ particle in magnetic field, where the energy spectrum is not only bounded but also discrete! I persuade myself by a care …
anecdote's user avatar
  • 701