Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 16.4-1

THE CANONICAL FORMALISM; STATISTICAL MECHANICS IN HELMHOLTZ REPRESENTATION

Physics — Statistical Mechanics · factorizable-system-element-probability

Problem

The probability that the

i

th element is in its

j

th orbital state is the sum of the probabilities of all microstates of the system in which the

i

th element is in its

j

th orbital state. Use this fact to show that for a ``factorizable system'' the probability of the

i

th element being in its

j

th orbital state is as given in equation 16.31.