Butterfield, Jeremy (2003) On Hamilton-Jacobi Theory as a Classical Root of Quantum Theory. UNSPECIFIED. (In Press)

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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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Item Type:	Other
Creators:	Creators Email ORCID Butterfield, Jeremy
Additional Information:	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
Keywords:	Hamilton-Jacobi theory, calculus of variations, optico-mechanical analogy, pilot-wave theory, Hamilton, deBroglie, Holland.
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Jeremy Butterfield
Date Deposited:	30 May 2003
Last Modified:	07 Oct 2010 15:11
Item ID:	1193
Public Domain:	No
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Quantum Mechanics
Date:	2003
URI:	https://philsci-archive.pitt.edu/id/eprint/1193

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