Ring Polymer Molecular Dynamics

This lecture covers the concept of ring polymer molecular dynamics, a technique used to calculate exact values of static equilibrium properties and approximate Kubo-transformed correlation functions. It discusses the accuracy of RPMD in various limits and its consistency with quantum mechanics symmetries. The presentation also delves into RPMD for non-local operators, showcasing how velocity autocorrelation functions can be defined and calculated. Furthermore, it explores the multidimensional generalization of RPMD for systems in 3D space, providing insights into its application in liquid environments.