Rules for Integrals over Products of Distributions from Coordinate Independence of Path Integrals

Details Rules for Integrals over Products of Distributions from Coordinate Independence of Path Integrals Rules for Integrals over Products of Distributions from Coordinate Independence of Path Integrals

2000-02-24

arxiv.org/abs/quant-ph/0002067v1

Eur. Phys. J. C 19, 743-747 (2001)

Physics

Quantum Physics

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http:/

Scientific paper

10.1007/s100520100600

In perturbative calculations of quantum mechanical path integrals in
curvilinear coordinates, Feynman diagrams involve multiple temporal integrals
over products of distributions, which are mathematically undefined. We derive
simple rules for their evaluation from the requirement of coordinate
independence of path integrals.

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