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Lecture Notes


PHY 418: Statistical Mechanics I
Prof. S. Teitel stte@pas.rochester.edu ---- Spring 2013


January | February | March | April | May

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

lecture canceled

2 3

lecture 19

Density matrix for two non-interacting particles, quantum correlations as an effective classical pair interaction, N-particle partition function in the position-space basis, partition functions for non-interacting quantum ideal gas

HW #5 due

4 5

lecture 20

Classical partition function in the occupation number representation, average occupation number, the classical vs quantum limits of the ideal gas

make-up lecture

7 8

lecture 21

The quantized harmonic oscillator as bosons, the Debye model for the specific heat of a solid, black body radiation

9 10

lecture 22

The quantum ideal gas, standard functions, pressure, density, energy, the leading correction to the classical limit

11 12 13
14 15

lecture 23

The degenerate Fermi gas, ground state energy, the Sommerfeld expansion, chemical potential at finite temperature

16 17

lecture 24

Specific heat of degenerate Fermi gas, Pauli paramagnetism

HW #6 due

18 19 20
21 22

lecture 25

The ideal Bose gas, Bose-Einstein condensation in an ideal gas of free bosons

23 24

lecture 26

Classical spin models, constant magnetization vs constant magnetic field ensembles, broken symmetry and the possibility for a phase transition in the thermodynamic limit, Ising phase diagram

25 26 27
28 29

lecture 27

Mean-field solution of the Ising model, critical exponents

HW #7 due