Correspondence between quantum and classical motion: comparing Bohmian mechanics with a smoothed effective potential approach

We simulate Bohm and classical trajectories through a constricted quantum w ire. Results are obtained with and without self-consistency as well as with an "effective" potential, calculated by smoothing the self-consistent pote ntial. Includings this effective potential generates classical trajectories with behavior remarkably similar to that of the actual quantum system. (C) 2000 Elsevier Science B.V. All rights reserved.