On a Reformulation of Bohmian Mechanics Including Open Dissipative Systems

Abstract In Bohmian mechanics it is assumed that quantum objects are particles follow real physical paths. These trajectories obtained by integrating the velocity field occurs in continuity equation. However, course of deriving these trajectories, independent position variable x , appearing field, arbtirarily replaced time-dependent trajectory q ( t ). We show under which restrictions such a replacement can be justified, leading to totally different interpretation trajectories. They not paths but borders regions constant probability, so-called quantiles, and therefore must seen context descriptive statistics. Thus they provide tool complementary conventional statistical formulation mechanics. A possible extension include open dissipative systems also discussed, showing inclusion an environment does change our