Motion of vortices implies chaos in Bohmian mechanics

Details Motion of vortices implies chaos in Bohmian mechanics Motion of vortices implies chaos in Bohmian mechanics

2005-02-17

arxiv.org/abs/quant-ph/0502108v2

Europhysics Letters 71, 159 (2005)

Physics

Quantum Physics

7 pages 5 figures

Scientific paper

10.1209/epl/i2005-10085-3

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.

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