dorsal/arxiv
View SchemaMotion of vortices implies chaos in Bohmian mechanics
| Authors | Diego A. Wisniacki, Enrique R. Pujals |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502108 |
| URL | https://arxiv.org/abs/quant-ph/0502108 |
| DOI | 10.1209/epl/i2005-10085-3 |
| Journal | Europhysics Letters 71, 159 (2005) |
Abstract
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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"abstract": "Bohmian mechanics is a causal interpretation of quantum mechanics in which\nparticles describe trajectories guided by the wave function. The dynamics in\nthe vicinity of nodes of the wave function, usually called vortices, is regular\nif they are at rest. However, vortices generically move during time evolution\nof the system. We show that this movement is the origin of chaotic behavior of\nquantum trajectories. As an example, our general result is illustrated\nnumerically in the two-dimensional isotropic harmonic oscillator.",
"arxiv_id": "quant-ph/0502108",
"authors": [
"Diego A. Wisniacki",
"Enrique R. Pujals"
],
"categories": [
"quant-ph",
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],
"doi": "10.1209/epl/i2005-10085-3",
"journal_ref": "Europhysics Letters 71, 159 (2005)",
"title": "Motion of vortices implies chaos in Bohmian mechanics",
"url": "https://arxiv.org/abs/quant-ph/0502108"
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