Vortex interaction, chaos and quantum probabilities
arXiv:nlin/0507015 · doi:10.1209/epl/i2005-10467-5
Abstract
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 recent attempts in which Born's probability rule is derived in terms of an irreversible time evolution to equilibrium, rather than being postulated.
4 pages, 4 figures
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- Nodal points and the transition from ordered to chaotic Bohmian trajectories
- Quantum non-equilibrium and relaxation to equilibrium for a class of de Broglie-Bohm-type theories
- Chaos in Bohmian Quantum Mechanics: A short review
- Chaotic Bohmian trajectories for stationary states
- Extreme quantum nonequilibrium, nodes, vorticity, drift, and relaxation retarding states
- de Broglie-Bohm analysis of a nonlinear membrane: From quantum to classical chaos
- Evolution of Quantum Nonequilibrium for Coupled Harmonic Oscillators
- Symmetry breaking and singularity structure in Bose-Einstein condensates
- Nonclassical polarization dynamics in classical-like states
- Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics
- Bohmian Trajectories of the Time-oscillating Schrödinger Equations
- Signatures of relic quantum nonequilibrium