Rules for Integrals over Products of Distributions from Coordinate Independence of Path Integrals
Quantum Physics
2009-11-06 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0002067,
title = {Rules for Integrals over Products of Distributions from Coordinate Independence of Path Integrals},
author = {H. Kleinert and A. Chervyakov},
journal= {arXiv preprint arXiv:quant-ph/0002067},
year = {2009}
}
Comments
Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/kleiner_re303/preprint.html