dorsal/arxiv
View SchemaOn Hamilton-Jacobi theory: its geometry and relation to pilot-wave theory
| Authors | Jeremy Butterfield |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210140 |
| URL | https://arxiv.org/abs/quant-ph/0210140 |
Abstract
This paper gives a technically elementary treatment of some aspects of Hamilton-Jacobi theory, especially in relation to the calculus of variations. The second half of the paper describes the application to geometric optics, the optico-mechanical analogy and the transition to quantum mechanics. Finally, I report recent work of Holland providing a Hamiltonian formulation of the pilot-wave theory.
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"abstract": "This paper gives a technically elementary treatment of some aspects of\nHamilton-Jacobi theory, especially in relation to the calculus of variations.\nThe second half of the paper describes the application to geometric optics, the\noptico-mechanical analogy and the transition to quantum mechanics. Finally, I\nreport recent work of Holland providing a Hamiltonian formulation of the\npilot-wave theory.",
"arxiv_id": "quant-ph/0210140",
"authors": [
"Jeremy Butterfield"
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"title": "On Hamilton-Jacobi theory: its geometry and relation to pilot-wave theory",
"url": "https://arxiv.org/abs/quant-ph/0210140"
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