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

D. J. Thouless; P. Ao; Q. Niu

doi:10.1007/bf02569429

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

D. J. Thouless·P. Ao·Q. Niu

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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.

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D. J. Thouless, P. Ao, Q. Niu. 1996-08-20. Derivation of the transverse force on a moving vortex in a superfluid. https://doi.org/10.1007/bf02569429

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