Non-commuting coordinates in vortex dynamics and in the Hall effect, related to "exotic" Galilean symmetry
High Energy Physics - Theory
2017-08-23 v1
Abstract
Vortex dynamics in a thin superfluid He film as well as in a type II superconductor is described by the classical counterpart of the model advocated by Peierls, and used for deriving the ground states of the Fractional Quantum Hall Effect. The model has non-commuting coordinates, and is obtained by reduction from a particle associated with the ``exotic'' extension of the planar Galilei group.
Keywords
Cite
@article{arxiv.hep-th/0207075,
title = {Non-commuting coordinates in vortex dynamics and in the Hall effect, related to "exotic" Galilean symmetry},
author = {P. A. Horváthy},
journal= {arXiv preprint arXiv:hep-th/0207075},
year = {2017}
}
Comments
To appear in the proceedings of the International Workshop {\it Nonlinear Physics: Theory and Experiment.}{\rm II}. Gallipoli, (Lecce, Italy), to be published by World Scientific. LaTex, 7 pages, no figures