Lectures
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Lecture 1: Faliure of classical statistical mechanics: Black-body radiation
Lecture 2: Mixed states in quantum mechanics and density operator
Lecture 3: Many-particle wave functions and Hilbert space
Lecture 4: Ensembles and partition function for systems in equilibrium
- Example: Partition function for two bosons and two fermions.
- Example: "Effective force" between noninteracting bosons and fermions due to Pauli principle.
Lecture 5: Noninteracting bosons in equilibrium
- Example: Phonons in solids.
Lecture 6: Bose-Einstein condensation
- Example: BEC in noninteracting gases.
- Example: BEC in ultra cold atom gases in traps.
Lecture 7: Noninteracting fermions in equilibrium
- Example: Pressure of ideal Fermi vs. ideal Bose gas.
- Example: Heat capacity of electrons in solids.
- Example: Pauli paramagnetism.
- Example: Landau diamagnetism.
- Example: Neutron stars.
Lecture 8: Magnetic systems
- Example: Noninteracting systems of spin
- Example: Thermodynamics of magnetism
- Example: Partition function of the Ising model in one-dimension.
- Example: Onsager solution and computer simulations of the Ising model in two-dimensions.
