Monte carlo integration with oscillatory integrands: implications for feynman path integration in real time

阅读量:

59

作者:

NancyMakriWilliamH.Miller

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摘要:

A new method is described for the Monte Carlo evaluation of integrals of the form exp[iS(x)] that occur in the Feynman path integral representation of the time evolution operator, exp(iHt/h). The method is general, strictly Monte Carlo based (and thus applicable to high dimensionality), and has the desirable feature that the stationary phase (i.e. semiclassical) approximation to the integral is obtained in its worst limit. Application to a non-trivial test case (the Airy integral) illustrates these features.

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DOI:

10.1016/0009-2614(87)80142-2

被引量:

235

年份:

1987

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来源期刊

Chemical Physics Letters
14 August 1987

引用走势

1998
被引量:18

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