Europhys. Lett.
Volume 71, Number 2, July 2005
Page(s) 159 - 165
Section General
Published online 17 June 2005
Europhys. Lett., 71 (2), pp. 159-165 (2005)
DOI: 10.1209/epl/i2005-10085-3

Motion of vortices implies chaos in Bohmian mechanics

D. A. Wisniacki1 and E. R. Pujals2, 3

1  Departamento de Física "J. J. Giambiagi", FCEN, UBA - Pabellón 1 Ciudad Universitaria, 1428 Buenos Aires, Argentina
2  Department of Mathematics, University of Toronto Toronto, Ontario, Canada M5S 3G3
3  IMPA-OS - Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil

received 21 March 2005; accepted in final form 25 May 2005
published online 17 June 2005

Bohmian mechanics is a causal interpretation of quantum mechanics in which particles describe trajectories 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 trajectories. As an example, our general result is illustrated numerically in the two-dimensional isotropic harmonic oscillator.

03.65.-w - Quantum mechanics.
03.65.Ta - Foundations of quantum mechanics; measurement theory.

© EDP Sciences 2005