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.

Anexos:

• paper.pdf