From Classical to Quantum Mechanics through Optics

Details From Classical to Quantum Mechanics through Optics From Classical to Quantum Mechanics through Optics

2009-09-17

arxiv.org/abs/0909.3258v1

Eur. J. Phys. 31 (2010) 171-192

Physics

History and Philosophy of Physics

25 pages, 2 figures

Scientific paper

10.1088/0143-0807/31/1/016

In this paper we revise the main aspects of the Hamiltonian analogy: the fact
that optical paths are completely analogous to mechanical trajectories. We
follow Schr\"{o}dinger's original idea and go beyond this analogy by changing
over from the Hamilton's principal function $S$ to the wave function $\Psi$. We
thus travel from classical to quantum mechanics through optics.

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