Wave-particle duality and the Hamilton action
Gregory Sivashinsky
TL;DR
This paper revisits the Hamilton-Jacobi equation in relativistic quantum mechanics, demonstrating it allows breather solutions that exhibit both particle-like and wave-like behaviors, highlighting wave-particle duality.
Contribution
It introduces breather solutions to the Hamilton-Jacobi equation, providing a new perspective on wave-particle duality in relativistic quantum mechanics.
Findings
Breather solutions display oscillating and spinning characteristics.
Solutions exhibit simultaneous particle and wave behaviors.
Highlights wave-particle duality within the Hamilton-Jacobi framework.
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 behaviour.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Atomic and Subatomic Physics Research · Quantum optics and atomic interactions