D A Wisniacki et al 2007 J. Phys. A: Math. Theor. 40 14353 doi:10.1088/1751-8113/40/48/003
Vortex dynamics and their interactions in quantum trajectories
D A Wisniacki1, E R Pujals2 and F Borondo3
Show affiliationsVortices are known to play a key role in many important processes in physics and chemistry. Here, we study vortices in connection with the quantum trajectories that can be defined in the framework provided by the de Broglie–Bohm formalism of quantum mechanics. In a previous work, it was shown that the presence of a single moving vortex is enough to induce chaos in these trajectories. Here, this situation is explored in more detail by discussing the relationship between Lyapunov exponents and the parameters characterizing the vortex dynamics. We also consider the issue when more than one vortex exists. In this case, the interaction among them can annihilate or create pairs of vortices with opposite vorticity. This phenomenon is analyzed from a dynamical point of view, showing how the size of the regular regions in phase space grows, as vortices disappear.
- PACS
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03.65.Ge Solutions of wave equations: bound states
- MSC
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81Qxx General mathematical topics and methods in quantum theory
- Subjects
- Dates
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Issue 48 (30 December 2007)
Received 3 July 2007, in final form 8 October 2007
Published 14 November 2007
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Vortex dynamics and their interactions in quantum trajectories
D A Wisniacki et al 2007 J. Phys. A: Math. Theor. 40 14353
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