Wave-Particle Duality and the Hamilton-Jacobi Equation
Quantum Physics
2009-12-31 v1
Abstract
The Hamilton-Jacobi equation of relativistic quantum mechanics is revisited. The equation is shown to permit solutions in the form of breathers (oscillating/spinning solitons), displaying simultaneous particle-like and wave-like behavior. The de Broglie wave thus acquires a clear deterministic meaning of a wave-like excitation of the classical action function. The problem of quantization in terms of the breathing action function and the double-slit experiment are discussed.
Keywords
Cite
@article{arxiv.0912.5156,
title = {Wave-Particle Duality and the Hamilton-Jacobi Equation},
author = {Gregory I. Sivashinsky},
journal= {arXiv preprint arXiv:0912.5156},
year = {2009}
}
Comments
13 pages