1307.2510 (Isaac Shnaid)
Isaac Shnaid
If a one-particle or multi-particle non-relativistic quantum system is initially in a stationary state, and its wave function field is locally perturbed, then according to classical Schr\"odinger equation, the perturbation instantaneously affects all infinite region because, according to the equation, speed of the wave function perturbations propagation is infinite. This feature strongly influences all theoretical predictions for time evolution of the system and contradicts the natural limitation of the perturbations propagation speed by speed of light. We develop finite propagation speed concept for multi-particle non-relativistic quantum systems. It consists of (a) eikonal type equation for the wave function perturbation traveltime describing finite speed perturbation waves in hyperspace including coordinates of all paricles in the system; (b) modified multi-particle Schr\"odinger equation with finite speed of the wave function perturbations propagation; and (c) hypothesis that speed of the wave function perturbations propagation is equal speed of light. Analysis of derived equations shows characteristic features of quantum processes with finite speed of the wave function perturbations propagation. Using derived equations we solve Einstein-Podolsky-Rosen (EPR) paradox, and develop local interpretation of EPR paradox and entanglement. We show that our claims regarding the wave function perturbations propagation with speed of light agree with classical experiments on electron matter waves diffraction.
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http://arxiv.org/abs/1307.2510
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