From Classical to Wave-Mechanical Dynamics
Abstract
The time-independent Schroedinger and Klein-Gordon equations - as well as any other Helmholtz-like equation - were recently shown to be associated with exact sets of ray-trajectories (coupled by a "Wave Potential" function encoded in their structure itself) describing any kind of wave-like features, such as diffraction and interference. This property suggests to view Wave Mechanics as a direct, causal and realistic, extension of Classical Mechanics, based on exact trajectories and motion laws of point-like particles "piloted" by de Broglie's matter waves and avoiding the probabilistic content and the wave-packets both of the standard Copenhagen interpretation and of Bohm's theory.
Keywords
Cite
@article{arxiv.1406.4968,
title = {From Classical to Wave-Mechanical Dynamics},
author = {Adriano Orefice and Raffaele Giovanelli and Domenico Ditto},
journal= {arXiv preprint arXiv:1406.4968},
year = {2015}
}
Comments
15 pages, 1 figure. Substantial updates. arXiv admin note: text overlap with arXiv:1310.8077