On Hamilton-Jacobi Theory as a Classical Root of Quantum Theory.
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.
||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
||Hamilton-Jacobi theory, calculus of variations, optico-mechanical analogy, pilot-wave theory, Hamilton, deBroglie, Holland.
||Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Quantum Mechanics
||30 May 2003
||07 Oct 2010 15:11
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