PHYS 210A: Statistical Mechanics I

Lecture Notes

• Introduction and postulates
• Entropy
• Subsystem of a closed system
• Paritition function
• Grand canonical ensemble
• Harmonic oscillators
• Separable Hamiltonians of identical particles-1
• Separable Hamiltonians of identical particles-2
• Bose-Einstein condensation
• Bosons without particle number conservation
• Non-interacting fermions-1
• Non-interacting fermions-2
• Phases of matter and adiabatic continuity
• Simple models with non-analytic free energy
• 1d Ising model
• Spontaneous symmetry breaking
• Mean-field theory
• Landau theory
• First-order transitions
• Continuous symmetries
• A simple quantum phase transition-1
• A simple quantum phase transition-2