A strange feature of Bohm's Theory of quantum motion
Abstract
Description
In the Bohm picture and one-dimensional case, we show that given an adequately chosen potential for characterising obstacles, one can derive laws of motion formally identical to that of special relativity. In such a hypothetical scheme, superluminal velocities are not forbidden, but a particle cannot collide with an obstacle with an average, superluminal velocity.
9 text pages, 1 figure. In this last version we stress that our mathematical example works only in the one-dimensional case, and not in three
9 text pages, 1 figure. In this last version we stress that our mathematical example works only in the one-dimensional case, and not in three