Physics – Classical Physics
Scientific paper
1997-10-20
Physics
Classical Physics
12 pages, standard Latex article
Scientific paper
In this paper we analyze the physical meaning of sub- and superluminal soliton-like solutions (as the X-waves) of the relativistic wave equations and of some non-trivial solutions of the free Schr\"odinger equation for which the concepts of phase and group velocities have a different meaning than in the case of plane wave solutions. If we accept the strict validity of the principle of relativity, such solutions describe objects of two essentially different natures: carrying energy wave packets and inertia-free properly phase vibrations. Speeds of the first-type objects can exceed the plane wave velocity $c_*$ only inside media and are always less than the vacuum light speed $c$. Particularly, very fast sound pulses with speeds $c_* < v < c$ have already been launched. The second-type objects are incapable of carrying energy and information but have superluminal speed. If we admit the possibility of a breakdown of Lorentz invariance, pulses described, for example, by superluminal solutions of the Maxwell equations can be generated. Only experiment will give the final answer.
Barashenkov Vladilen S.
Rodrigues Waldyr A. Jr.
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