Answer the following about the structure of the partition function of the canonical ensemble, for 10 points each.
[10e] In the discrete case, the partition function is a sum of expressions of this man’s namesake “factors.” This Austrian’s namesake constant is symbolized k-sub-B.
ANSWER: Ludwig Boltzmann [accept Boltzmann’s constant]
[10m] In the continuous case with indistinguishable particles, a factor of one over N-factorial appears so that this quantity is extensive. That factor properly accounts for this quantity’s “mixing” type in identical gases.
ANSWER: entropy [accept mixing entropy; prompt on S]
[10h] The continuous expression also includes a factor of one over h to the 3N, where h is Planck’s constant, so the partition function has this property. This property means that the partition function is invariant under rescaling.
ANSWER: dimensionless [or unitless; accept descriptions of having no units]
<Claremont A, Physics>