Abstract

It is shown how Bohmian trajectories can be derived without the need for Bohmian assumptions such as the guidance law or equilibrium postulate. According to the standard Copenhagen interpretation, Bohmian trajectories cannot be understood as physical paths of particles but must be considered in the framework of descriptive statistics. This does not render them useless but clarifies the field of applications. Without the necessity of the non-crossing rule, the conservation of probability between two Bohmian trajectories can still be proven. The concept is further extended to momentum space and is demonstrated explicitly using general Gaussian wave packets as example.