Trajectories of two-particle states for the harmonic oscillator

Abstract

Using the example of a harmonic oscillator and nondispersive wave packets, we derive, in the frame of the causal interpretation, the equations of motion and particle trajectories in one- and two-particle systems. The role of the symmetry or antisymmetry of the wave function is analyzed as it manifests itself in the specific types of corelated trajectories. This simple example shows that the concepts of the quantum potential and the quantum forces prove to be essential for the specification of the dynamics of a microsystem and the resulting statistical behavior.