Coordinate Independence of of Quantum-Mechanical Path Integrals

Details Coordinate Independence of of Quantum-Mechanical Path Integrals Coordinate Independence of of Quantum-Mechanical Path Integrals

2000-03-21

arxiv.org/abs/quant-ph/0003095v1

Phys. Lett. A 268, 63 (2000)

Physics

Quantum Physics

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

Scientific paper

10.1016/S0375-9601(00)00169-9

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.

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