G25.2651: Statistical Mechanics

Notes for Lecture 13

• Principles of quantum statistical mechanics
  • The density matrix and density operator
  • Time evolution of the density operator
  • The quantum equilibrium ensembles
    • The microcanonical ensemble
    • The canonical ensemble
    • Isothermal-isobaric and grand canonical ensembles
  • A simple example - the quantum harmonic oscillator
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