Monte Carlo methods are described for evaluating the Feynman path integral representation of the (real time) propagator (time evolution operator), exp(−iHt/ℏ). The approach is based on the modified Filinov algorithm presented earlier by Makri and Miller [Chem. Phys. Lett. 139, 10 (1987)]. Numerical calculations are presented for time evolution in a symmetric double well potential, as well as in a Morse potential.
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Research Article| August 15 1988
Monte Carlo path integration for the real time propagator
Nancy Makri, William H. Miller; Monte Carlo path integration for the real time propagator. J. Chem. Phys. 15 August 1988; 89 (4): 2170–2177. https://doi.org/10.1063/1.455061
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