Derivation of the transverse force on a moving vortex in a superfluid
Condensed Matter
2009-10-28 v1
Abstract
We describe an exact derivation of the total nondissipative transverse force acting on a quantized vortex moving in a uniform background. The derivation is valid for neutral boson or fermion superfluids, provided the order parameter is a complex scalar quantity. The force is determined by the one-particle density matrix far away from the vortex core, and is found to be the Magnus force proportional to the superfluid density.
Cite
@article{arxiv.cond-mat/9608089,
title = {Derivation of the transverse force on a moving vortex in a superfluid},
author = {D. J. Thouless and P. Ao and Q. Niu},
journal= {arXiv preprint arXiv:cond-mat/9608089},
year = {2009}
}
Comments
Latex, 6 pages