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arXiv · 1003.2542

The de Broglie Wave as a Localized Excitation of the Action Function

Gregory Sivashinsky
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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.

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Gregory Sivashinsky. 2010-03-12. The de Broglie Wave as a Localized Excitation of the Action Function. https://doi.org/10.1016/j.physd.2010.10.002

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