dorsal/arxiv
View SchemaThe complete solution of the Hamilton-Jacobi equation in Quantum Mechanics
| Authors | Rafael Ferraro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9607013 |
| URL | https://arxiv.org/abs/quant-ph/9607013 |
Abstract
An ordinary unambiguous integral representation for the finite propagator of a quantum system is found by starting of a privileged skeletonization of the functional action in phase space, provided by the complete solution of the Hamilton-Jacobi equation. This representation allows to regard the propagator as the sum of the contributions coming from paths where the momenta generated by the complete solution of the Hamilton-Jacobi equation are conserved -as it does happen on the classical trajectory-, but are not restricted to having the classical values associated with the boundary conditions for the original coordinates.
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"abstract": "An ordinary unambiguous integral representation for the finite propagator of\na quantum system is found by starting of a privileged skeletonization of the\nfunctional action in phase space, provided by the complete solution of the\nHamilton-Jacobi equation. This representation allows to regard the propagator\nas the sum of the contributions coming from paths where the momenta generated\nby the complete solution of the Hamilton-Jacobi equation are conserved -as it\ndoes happen on the classical trajectory-, but are not restricted to having the\nclassical values associated with the boundary conditions for the original\ncoordinates.",
"arxiv_id": "quant-ph/9607013",
"authors": [
"Rafael Ferraro"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th"
],
"title": "The complete solution of the Hamilton-Jacobi equation in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9607013"
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