Vortex interaction, chaos and quantum probabilitiesD. A. Wisniacki1, E. R. Pujals2 and F. Borondo3
1 Departamento de Física "J. J. Giambiagi", FCEN, UBA, Pabellón 1 Ciudad Universitaria, 1428 Buenos Aires, Argentina
2 IMPA-OS - Dona Castorina 110, 22460-320, Rio de Janeiro, Brazil
3 Departamento de Química C-IX, Universidad Autónoma de Madrid Cantoblanco, 28049 Madrid, Spain
received 5 August 2005; accepted in final form 13 January 2006
published online 1 February 2006
The motion of a single vortex is able to originate chaos in the quantum trajectories defined in Bohm's interpretation of quantum mechanics. In this letter, we show that this is also the case in the general situation, in which many interacting vortices exist. This result gives support to those studies in which the Born's probability rule is considered from the point of view of a thermal analogy.
03.65.-w - Quantum mechanics.
03.65.Ta - Foundations of quantum mechanics; measurement theory.
© EDP Sciences 2006