Stationary phase Monte Carlo methods: An exact formulation
Date of Original Version
We present here a general and formally exact stationary phase Monte Carlo method. This method is aimed at the generic problem of performing many-dimensional averages of highly oscillatory integrands, a central problem in the path integral treatment of quantum dynamics. The relationship between our previous developments, the work by Filinov and the recent work by Makri and Miller is clarified. We present an implementation of the stationary phase Monte Carlo approach that is viable, formally exact and that eliminates the need for derivatives beyond first order. © 1988.
Publication Title, e.g., Journal
Chemical Physics Letters
Doll, J. D., D. L. Freeman, and M. J. Gillan. "Stationary phase Monte Carlo methods: An exact formulation." Chemical Physics Letters 143, 3 (1988): 277-283. doi: 10.1016/0009-2614(88)87380-9.