# Simple Chaotic Motion of Quantum Particles According to the Causal Interpretation of Quantum Theory

Simple Chaotic Motion of Quantum Particles According to the Causal Interpretation of Quantum Theory

The causal interpretation of quantum theory developed by David Bohm introduced trajectories that are guided by a real phase function from the wavefunction in the polar form. A simple model is used to get chaotic motion; the trajectories undergo a transition from order to chaos depending on the relative phase factors and . The trajectories circle close to the minimum (nodal) points. For example, at the origin the squared wavefunction has a minimum for all : . The graphic shows the squared time-dependent wavefunction, the quantum particles, and the complete paths.

S

α

β

t

Ψ(0,0,t)Ψ(0,0,t)=

*

1

a

2