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.
|Titolo:||From Classical to Wave-Mechanical Dynamics|
|Parole Chiave:||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|
|Settore Scientifico Disciplinare:||Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici|
|Data di pubblicazione:||2015|
|Appare nelle tipologie:||01 - Articolo su periodico|