Chaos in 2-d Bohmian Trajectories
Athanasios C. Tzemos, George Contopoulos
TL;DR
This paper reviews the mechanism behind chaos in two-dimensional Bohmian trajectories, focusing on the nodal point-X-point complex, supported by numerical analysis and new insights into chaos generation and potential structure.
Contribution
It provides a comprehensive review of the NPXPC mechanism for chaos in 2D Bohmian trajectories with new detailed results and numerical calculations.
Findings
Identification of the NPXPC as a key chaos generator
New numerical insights into the potential structure around NPXPC
Detailed analysis of chaos formation in 2D Bohmian systems
Abstract
We make a short review of the most general mechanism for the generation of chaos in 2-d Bohmian trajectories, the so called `nodal point-X-point complex' (NPXPC) mechanism. The presentation is based on numerical calculations made with Maple and is enriched with new results on the details of the generation of chaos, and the form of the potential around the NPXPC.
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Taxonomy
TopicsQuantum Mechanics and Applications · Nonlinear Dynamics and Pattern Formation · Molecular spectroscopy and chirality