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

Publication Year:
Usage 898
Downloads 898
Repository URL:
Butterfield, Jeremy
artifact description
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.