Quantile motion and tunneling

The concepts of quantile position, trajectory, and velocity are defined. Fo r a tunneling quantum mechanical wave packet, it is proved that its quantil e position always stays behind that of a free wave packet with the same ini tial parameters. In quantum mechanics the quantile trajectories are mathema tically identical to Bohm's trajectories. A generalization to three dimensi ons is given. (C) 1998 Elsevier Science B.V.