Implications of the noncrossing property of Bohm trajectories in one-dimensional tunneling configurations

Abstract

Several practical implications of the noncrossing property of one-dimensional Bohm trajectories are examined. It is shown that the position of a Bohm particle, the average transmission, reflection and dwell times, and the probability distribution of these tunneling times, can all be obtained without actually calculating trajectories. On the other hand, the intuitive interpretation of the scattering of wave packets by potential barriers is discussed within the framework of Bohm’s interpretation of quantum mechanics. In this regard, claims that Bohm’s approach leads to counterintuitive results are shown to be subjective. © 1996 The American Physical Society.