Origin of chaos in 3-d Bohmian trajectories
arXiv:1609.07069 · doi:10.1016/j.physleta.2016.09.016
Abstract
We study the 3-d Bohmian trajectories of a quantum system of three harmonic oscillators. We focus on the mechanism responsible for the generation of chaotic trajectories. We demonstrate the existence of a 3-d analogue of the mechanism found in earlier studies of 2-d systems, based on moving 2-d `nodal point - X-point complexes'. In the 3-d case, we observe a foliation of nodal point - X-point complexes, forming a `3-d structure of nodal and X-points'. Chaos is generated when the Bohmian trajectories are scattered at one or more close encounters with such a structure.
arXiv comment7 pages, 8 figures
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- de Broglie's double solution program: 90 years later
- Integrals of motion in 3-d Bohmian Trajectories
- Testing de Broglie's double solution in the mesoscopic regime
- Signatures of relic quantum nonequilibrium
- Chaos in a tunneling universe