Bose-Einstein Distribution

#Physics

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

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

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

• [Grand partition function] for a boson