An alternative theory for the Bohmian mechanics

Abstract

In this article, a causal model on the basis of trajectory is introduced for description of quantum systems. This theory is structurally very similar to Bohme mechanics, and like Bohme theory reproduces all statistical consequences of standard quantum mechanics. Particle trajectories in this model are different from anticipated ones by Bohme model. Quantum potential (force) form, which is given, is different from Bohme theory. Actually, this model will convert to Bohme theory by annihilating the free parameter ( μ ). Theoretical properties of this model are investigated in the same way as Galilean invariance. Also, a precise comparison between this theory and Bohme mechanics is made, and some suggestions are presented (through transit time distribution) for experimental distinction between these two models. Finally, extension of this theory is investigated

Keywords

• quantum potential
• Bohmian mechanics
• Liouville equation
• tunneling time
• arrival time
• quantum equilibrium
• guidance equation