C.2 Bose-EINSTEIN Statistics

The logarithm of (C.16) yields the thermodynamic potential

(C.17) |

The mean number of particles is obtained from by differentiating with respect to the FERMI energy, as in (C.5), by keeping and (equivalently the ) fixed. As a result, the mean number of Bosons is given by the Bose-EINSTEIN distribution function

where is the mean occupation number in the th state.