▪ Abstract This review focuses on time-dependent methods suitable for simulating the
quantum dynamics of processes in large clusters and condensed-phase environments. A
number of mean field, quantum-classical, and quantum statistical approximations that avoid
the conventional exponential scaling with the number of degrees of freedom are reviewed.
In addition, rigorous semiclassical and path integral approaches are described that are
feasible in certain physical situations. Select chemical applications illustrating the …