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From Feynman's Wave Function to the Effective Theory of Vortex Dynamics

1994/01/21 by Q. NIu, Peng Ao, NIu, Q. +4
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum, superfluid, helium dynamics #Solar and Space Plasma Dynamics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9401045

11 pages, plain Tex, no figures. Accepted by Phys.Rev.Letters

arxiv created 1994/01/21 · openalex publication_date 1994/01/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the overlap between two many-body wave functions for a superfluid film containing a vortex at shifted positions. Comparing the results to phenomenological theories, which treat vortices as point particles, we find that the results are consistent if the point-particle vortices are considered as under the action of the Magnus force and in weak interaction with sound waves of the superfluid. We are then able to resolve the disagreement concerning the effective mass of vortices, showing it is finite.

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