The Einstein-Bose Distribution Law

The Einstein-Bose Distribution Law.—We can find the Einstein-Bose distribution law, proceeding by exact analogy with the methods of Sec. 3 but using the expression (2.11) for the entropy. Thus for the function A we have 

Varying the iVVs and requiring that A be a minimum for equilibrium, we have 

Equation (6.4) expresses the Einstein-Bose distribution law. As with the Fermi-Dirac law, the constant o is to be determined by the condition 

We can show, as we did with the Fermi-Dirac statistics, that the distribution (6.5) approaches the Maxwell-Boltzmann distribution law at high temperatures. It is no easier to make detailed calculations with the Einstein-Bose law than with the Fermi-Dirac distribution, and on account of its smaller practical importance we shall not carry through a detailed 

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