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Stationary phase Monte Carlo methods: An exact formulation

✍ Scribed by J.D. Doll; D.L. Freeman; M.J. Gillan


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
555 KB
Volume
143
Category
Article
ISSN
0009-2614

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✦ Synopsis


We present here a general and formally exact stationary phase Monte Carlo method. This method is aimed at the generic problem of performing manydimensional 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.


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