The de Broglie Wave as a Localized Excitation of the Action Function
Quantum Physics
2015-05-18 v1
Abstract
The Hamilton-Jacobi equation of relativistic quantum mechanics is revisited. The equation is shown to permit solutions in the form of breathers (nondispersive oscillating/spinning solitons), displaying simultaneous particle-like and wave-like behavior adaptable to the properties of the de Broglie clock. Within this formalism the de Broglie wave acquires the meaning of a localized excitation of the classical action function. The problem of quantization in terms of the breathing action function is discussed.
Keywords
Cite
@article{arxiv.1003.2542,
title = {The de Broglie Wave as a Localized Excitation of the Action Function},
author = {Gregory Sivashinsky},
journal= {arXiv preprint arXiv:1003.2542},
year = {2015}
}
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11 pages