Derivation of the transverse force on a moving vortex in a superfluid

Details Derivation of the transverse force on a moving vortex in a superfluid Derivation of the transverse force on a moving vortex in a superfluid

1996-08-20

arxiv.org/abs/cond-mat/9608089v1

Physics

Condensed Matter

Latex, 6 pages

Scientific paper

10.1007/BF02569429

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.

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