Is wave mechanics consistent with classical logic?
Contrary to a wide-spread commonplace, an exact, ray-based treatment holding for any kind of monochromatic wavelike features (such as diffraction and interference) is provided by the structure itself of the Helmholtz equation. This observation allows to dispel—in apparent
violation of the uncertainty principle—another commonplace, forbidding an exact, trajectory-based approach to wave mechanics.
Keywords: Bohmian Theory; Hamilton Equations; Helmholtz Equation; Quantum Potential; Quantum Trajectories; Schrödinger Equations; Uncertainty Principle; Wave Mechanics; Wave Potential; de Broglie's Matter Waves
Document Type: Research Article
Publication date: 10 December 2015
- Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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