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

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

2002-10-19

arxiv.org/abs/quant-ph/0210140v2

Physics

Quantum Physics

31 pages, no figures. Minor corrections and changes made since previous version. This version is forthcoming in Elitzur, A.C.,

Scientific paper

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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