Bose-Einstein Distribution

$f(\epsilon )=\frac{1}{e^{\beta \epsilon }-1}$

• As $T\to 0$ (i.e. [coldness] $\beta \to \infty$), $f(E)=0$ for $E\ne 0$ and becomes a Bose-Einstein condensate

$\mathbb{Z}=e^{\beta \epsilon }-1$

• [Grand partition function] for a boson