Data di Pubblicazione:
2015
Citazione:
From Classical to Wave-Mechanical Dynamics / A. Orefice, R. Giovanelli, D. Ditto. - In: ANNALES DE LA FONDATION LOUIS DE BROGLIE. - ISSN 0182-4295. - 40:(2015), pp. 1.1-1.18. [Epub ahead of print]
Abstract:
The time-independent Schroedinger and Klein-Gordon equations - as well as any other Helmholtz-like equation - turn out to be associated with exact sets of Hamiltonian ray-trajectories (coupled by a "Wave Potential" function, encoded in their structure itself) describing any kind of wave-like features, such as diffraction and interference. This property suggests to view Wave Mechanics as a direct, causal and realistic, extension of Classical Mechanics, based on exact trajectories and motion laws of point-like particles "piloted" by de Broglie’s mono-energetic matter waves and avoiding the probabilistic content and the wave-packets both of the standard Copenhagen interpretation and of Bohm’s theory.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Helmholtz equation; Electromagnetic waves; Eikonal approximation; Ray trajectories; Classical dynamics; Relativistic dynamics; Hamilton equations; Hamilton-Jacobi equations; Wave Mechanics; de Broglie’s matter waves; Pilot waves; Schrödinger equation; Klein-Gordon equation; Quantum potential; Bohm’s theory; Quantum trajectories; Wave potential
Elenco autori:
A. Orefice, R. Giovanelli, D. Ditto
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