Why is it that particles with half-integer spin are
Fermi particles whereas particles with integer spin are
Bose particles? An explanation has been worked out
by Pauli from complicated arguments from quantum
eld theory and relativity. He has shown that th
PHY 385L - STATISTICAL MECHANICS.
Homework Set #4, Due September 23, 2015. ANSWERS
Problem 1.
(a) First note that
1 61; 1 av
P=:(a0p md“T=‘:Gﬁ)T (U
Then,
61; R a at t b
(—BT)P= —P-l~—E112 and (auP)T——Tf(P) — (2)
Now note that (5%(g—;)P)T = —;:%- and (339T
PHY 385L - STATISTICAL MECHANICS.
Homework Set #3 , Due September 7', 2015. ANSWERS
Problem 1.
The equation of state for blackbody radiation is P z §aT4 and the internal
energy is U 2 al’ T 4, P is pressure, T is temperature, and V is volume. Assume
that