Coordinate Independence of of Quantum-Mechanical Path Integrals
Quantum Physics
2009-11-06 v1
Abstract
We develop simple rules for performing integrals over products of distributions in coordinate space. Such products occur in perturbation expansions of path integrals in curvilinear coordinates, where the interactions contain terms of the form dot q^2 q^n, which give rise to highly singular Feynman integrals. The new rules ensure the invariance of perturbatively defined path integrals under coordinate transformations.
Cite
@article{arxiv.quant-ph/0003095,
title = {Coordinate Independence of of Quantum-Mechanical Path Integrals},
author = {H. Kleinert and A. Chervyakov},
journal= {arXiv preprint arXiv:quant-ph/0003095},
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/305/