Wave-Particle Duality and the Hamilton-Jacobi Equation

Details Wave-Particle Duality and the Hamilton-Jacobi Equation Wave-Particle Duality and the Hamilton-Jacobi Equation

2009-12-28

arxiv.org/abs/0912.5156v1

Physics

Quantum Physics

13 pages

Scientific paper

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.

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