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arXiv · 1401.8139

Noncommuting Momenta of Topological Solitons

Haruki Watanabe·Hitoshi Murayama
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Abstract

We show that momentum operators of a topological soliton may not commute among themselves when the soliton is associated with the second cohomology $H^2$ 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.

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Haruki Watanabe, Hitoshi Murayama. 2014-05-14. Noncommuting Momenta of Topological Solitons. https://doi.org/10.1103/physrevlett.112.191804

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