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On Hamilton-Jacobi Theory as a Classical Root of Quantum Theory

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:
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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
URI: http://philsci-archive.pitt.edu/id/eprint/1193

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