Semiclassical Approximations to Quantum Dynamical Time Correlation Functions

摘要

Semiclassical approximations for quantum time correlation functions are presentedfor both electronically adiabatic and nonadiabatic dynamics along with discussions of the operator ordering and the classical limit. With the combined use of the initial value representation of the semiclassical propagator, a discrete algorithm to evaluate the Jacobi matrices, semiclassical operator ordering rules, and the stationary phase filter technique, a practical algorithm is developed to calculate quantum time correlation functions. Some simple illustrative examples are used to demonstrate the feasibility and accuracy of the algorithm.