Coherence refers to correlations in waves. Because matter has a wave-particle nature, it is
unsurprising that coherence has deep connections with the most contemporary issues in …

Imaginary-time path-integral or 'ring-polymer'methods have been used to simulate quantum
(Boltzmann) statistical properties since the 1980s. This article reviews the more recent …

We present the non-adiabatic Matsubara dynamics, a general framework for computing the
time-correlation function (TCF) of electronically non-adiabatic systems. This new formalism …

We derive the non-adiabatic ring polymer molecular dynamics (RPMD) approach in the
phase space of the SU (N) Lie Group. This method, which we refer to as the spin map** …

We introduce a semi-classical approximation for calculating generalized multi-time
correlation functions based on Matsubara dynamics, a classical dynamics approach that …

We develop a theory for approximating quantum time-correlation functions using the
classical dynamics of coordinates subject to thermally averaged Feynman path fluctuations …

Path-integral studies of quantum statistical effects in vibrational spectroscopy Page 1 Path-integral
studies of quantum statistical effects in vibrational spectroscopy Raz Lior Benson Sidney …

Simulating the motion of atoms and molecules is a challenging problem, especially when
the dynamics of the atomic nuclei need to be treated quantum mechanically. In this thesis we …