In this Lecture, formal interactions between quantum and statistical mechanics
have been examined. It was shown that the choice of a basis vector set does
not affect the calculated value of the partition function or of any ensemble
average. It was also shown that the sum over basis vector states, used to
compute the quantum canonical partition function, gives the same answer as does
the far more involved sum over all possible quantum states of the system.
Finally, the constant C which appeared in the ensemble averages and partition
functions of previous lectures was shown to satisfy 
.