Noncommuting Momenta of Topological Solitons
High Energy Physics - Theory
2014-08-12 v4 Other Condensed Matter
Quantum Gases
High Energy Physics - Phenomenology
Abstract
We show that momentum operators of a topological soliton may not commute among themselves when the soliton is associated with the second cohomology of the target space. The commutation relation is proportional to the winding number, taking a constant value within each topological sector. The noncommutativity makes it impossible to specify the momentum of a topological soliton, and induces a Magnus force.
Keywords
Cite
@article{arxiv.1401.8139,
title = {Noncommuting Momenta of Topological Solitons},
author = {Haruki Watanabe and Hitoshi Murayama},
journal= {arXiv preprint arXiv:1401.8139},
year = {2014}
}
Comments
5 +1 pages, including Supplemental Material; v4: new references added, published version