On Hamilton-Jacobi theory: its geometry and relation to pilot-wave theory

dc.creatorButterfield, Jeremy
dc.date2002-10-19
dc.date2003-05-21
dc.date.accessioned2026-07-07T06:05:17Z
dc.date.available2026-07-07T06:05:17Z
dc.descriptionThis 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.
dc.description31 pages, no figures. Minor corrections and changes made since previous version. This version is forthcoming in Elitzur, A.C., Dolev, S., and Kolenda, N. (editors), `Quo Vadis Quantum Mechanics? Possible Developments in Quantum Theory in the 21st Century', New York: Springer, 2004
dc.identifierhttps://arxiv.org/abs/quant-ph/0210140
dc.identifierhttp://arxiv.org/abs/quant-ph/0210140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90584
dc.subjectQuantum Physics
dc.subjectClassical Physics
dc.titleOn Hamilton-Jacobi theory: its geometry and relation to pilot-wave theory
dc.typetext

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