Chapter 6: Q. 6.42 (page 249)
In problem 6.20 you computed the partition function for a quantum harmonic oscillator :, where is the spacing between energy levels.
(a) Find an expression for the Helmholtz free energy of a system of harmonic oscillators.
(b) Find an expression for the entropy of this system as a function of temperature. (Don't worry, the result is fairly complicated.)
Short Answer
part (a):
part (b):role="math" localid="1647054975548"