Heat and Thermodynamics

13.9 Bose–Einstein, Fermi–Dirac and Classical Statistics

There are three ways of calculating the probability P_t depending upon the statistics the particles obey—(1) Bose–Einstein, (2) Fermi–Dirac and (3) classical. Let us study the three methods considering the particles to be indistinguishable from each other.

13.9.1 Calculation of P_t According to Bose–Einstein Method

We have a_t cells to place n_t particles in them, the problem is whether we can place in each cell one particle or more than one. In the first case, we assume as Einstein did, that there is no limit to the number of particles which a cell can contain; it can have any number from 0, 1, 2, … to n_t. The number of ways of accommodating n_t particles in a_t cells according to this conception ...