Preprint A362/2005
Motion of vortices implies chaos in Bohmian mechanics

Enrique R. Pujals | Wisniacki, Diego

**Keywords: **

Bohmian mechanics is a causal interpretation of quantum mechanics
in which particles describes trayectories guided by the wave function.
The dynamics in the vicinity of nodes of the
wave function, usually called vortices, is regular if they are at rest.
However, vortices generically move during time evolution of the system.
We show that this movement is the origin of chaotic behavior of quantum
trayectories.
As an example, our general result is numerically displayed in the two
dimensional isotropic harmonic oscillator.