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Path Integral

المؤلف:  Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T

المصدر:  "Evaluation of Functions by Path Integration." §5.14 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press

الجزء والصفحة:  ...

25-8-2018

2089

Path Integral

Let  be a path given parametrically by . Let  denote arc length from the initial point. Then

			(1)
			(2)

where {sigma(t):a<=t<=b}" src="http://mathworld.wolfram.com/images/equations/PathIntegral/Inline10.gif" style="height:14px; width:110px" />.

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REFERENCES:

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. "Evaluation of Functions by Path Integration." §5.14 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 201-204, 1992.