Computation of determinants using contour integrals

Details Computation of determinants using contour integrals Computation of determinants using contour integrals

2007-07-25

arxiv.org/abs/0707.3755v1

Am.J.Phys.76:60-64,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, to appear in American Journal of Physics

Scientific paper

10.1119/1.2794348

It is shown how the pre-exponential factor of the Feynman propagator for a large class of potentials can be computed using contour integrals. This is of direct relevance in the context of tunnelling processes in quantum theories. The prerequisites for this analysis are accessible to advanced undergraduate students and involve only introductory courses in ordinary differential equations and complex variables.

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