dorsal/arxiv
View SchemaCoordinate Independence of of Quantum-Mechanical Path Integrals
| Authors | H. Kleinert, A. Chervyakov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003095 |
| URL | https://arxiv.org/abs/quant-ph/0003095 |
| DOI | 10.1016/S0375-9601(00)00169-9 |
| Journal | Phys. Lett. A 268, 63 (2000) |
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.
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"abstract": "We develop simple rules for performing integrals over products of\ndistributions in coordinate space. Such products occur in perturbation\nexpansions of path integrals in curvilinear coordinates, where the interactions\ncontain terms of the form dot q^2 q^n, which give rise to highly singular\nFeynman integrals. The new rules ensure the invariance of perturbatively\ndefined path integrals under coordinate transformations.",
"arxiv_id": "quant-ph/0003095",
"authors": [
"H. Kleinert",
"A. Chervyakov"
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"doi": "10.1016/S0375-9601(00)00169-9",
"journal_ref": "Phys. Lett. A 268, 63 (2000)",
"title": "Coordinate Independence of of Quantum-Mechanical Path Integrals",
"url": "https://arxiv.org/abs/quant-ph/0003095"
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