Quantum Correlation Functions

This lecture covers quantum mechanical correlation functions, Kubo-transformed correlation functions, and their applications in molecular dynamics simulations. The instructor explains how to relate dynamical properties of thermal equilibrium systems to real-time correlation functions, and how to reconstruct standard correlation functions from Kubo-transformed ones. The lecture also discusses the calculation of diffusion coefficients, dipole absorption spectra, and chemical reaction rate coefficients using correlation functions. The presentation emphasizes the classical nature of certain correlation functions and their approximations in Ring Polymer Molecular Dynamics (RPMD).