= Saturation particle number for Bose-Einstein condensation
{title2=$N_c(T)=\int_0^\infty g(\epsilon)/(e^{\epsilon/(k_BT)}-1)\,d\epsilon$}
With the ground-state <energy> set to zero, the <chemical potential> of an ideal <Bose gas> cannot exceed zero. The limiting population of excited states as it approaches zero is the saturation <particle number>, provided the integral converges. Additional particles occupy the ground state macroscopically. For a three-dimensional uniform box, $N_c=\zeta(3/2)V/\lambda^3$ with <thermal wavelength> $\lambda=h/\sqrt{2\pi mk_BT}$.
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