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Effective non-oscillatory propagator for Feynman path integration in real time

โœ Scribed by Nancy Makri


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
791 KB
Volume
159
Category
Article
ISSN
0009-2614

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Nancy Makri; William H. Miller ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 355 KB

A new method is described for the Monte Carlo evaluation of integrals of the form J?Qlx exp [ is(x)] that occur in the Feynman path integral representation of the time evolution operator, exp( -iHt/A). The method is general, strictly Monte Carlo based (and thus applicable to high dimensionality), an

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The most commonly used short time propagator in a discretized Feynman path integral (and also several more sophisticated "improved" ones) is not correct through first order in the time increment Ar. The correct result for the phase (i.e. the action) of the short time propagator is developed in this