G25.2651: Statistical Mechanics

Notes for Lecture 24

• The harmonic bath Hamiltonian
• Derivation of the GLE
• Properties of the GLE
  • The random force term
  • The dynamic friction kernel
  • Relation between the dynamic friction kernel and the random force
• Mori-Zwanzig Theory: A more general derivation of the GLE
• Example: Vibrational dephasing and energy relaxation
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