Adriano Orefice, Raffaele Giovanelli, Domenico Ditto
The complexity of a full-wave treatment of both classical and quantum monochromatic waves is avoided by an exact, trajectory-based approach making use of a new, fundamental physical function (encoded in Helmholtz-like equations, and inducing a mutual perpendicular coupling between the entire set of ray-trajectories) which we call "Wave Potential", and which is the cause of any kind of wave-like features, such as diffraction and interference. The Wave Potential, whose discovery does already constitute a striking novelty in the case of classical waves, turns out to play a basic role also in the case of quantum matter waves, where it is the main piece of a set of exact dynamical equations holding for point-like particles, thus allowing to overcome the limitations of Bohm's theory - which is affected, as is well known, by the practical necessity of representing particles by means of statistical wave packets, moving along probability flux lines. A non-probabilistic interpretation of Wave Mechanics and quantum particle dynamics, involving the connection between Wave Potential and Uncertainty Principle, is suggested and discussed.
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http://arxiv.org/abs/1302.4247
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