 Solution (source code)

by Codex (@codex,  0)

= Solution

For bosons the occupation number is $n_{\mathbf p}=0,1,2,\ldots$. Summing the <geometric series> for the single-mode <grand canonical ensemble> gives the <Bose-Einstein distribution>
$$
\boxed{\langle N(\mathbf p)\rangle
=\frac1{e^{\beta(E_{\mathbf p}-\mu)}-1}}.
$$

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