Monte Carlo method for evaluating the quantum real time propagator.
A new exact representation of the quantum propagator is derived in terms of semiclassical initial value representations. The resulting expression may be expanded in a series, of which the leading order term is the semiclassical one. Motion of a Gaussian wave packet on a symmetric double well potential is used to demonstrate numerical convergence of the series and the ability to compute each element in the series using Monte Carlo methods.
Zhang
Shesheng
S
Chemical Physics Department, Weizmann Institute of Science, 76100 Rehovot, Israel.
Pollak
Eli
E