Template:Course Topics

• proper and improper mixed states in quantum mechanics and the density matrix,
• equilibrium quantum partition function for noninteracting bosons and fermions,
• phase transitions and critical phenomena (with emphasis on magnetic systems),
• mean field theory and renormalization group methods,
• quantum and classical linear response theory,
• interacting many-body quantum systems (with emphasis on superfluidity and superconductivity),
• introduction to quantum phase transitions in modern research.