Monte Carlo method for evaluating the quantum real time propagator.

Phys Rev Lett

Chemical Physics Department, Weizmann Institute of Science, 76100 Rehovot, Israel.

Published: November 2003

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.

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http://dx.doi.org/10.1103/PhysRevLett.91.190201DOI Listing

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