Path Integral

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

			(1)
			(2)

where .

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.