Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schrödinger equation
arXiv:2208.10412 · doi:10.1103/PhysRevE.107.025107
Abstract
We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schr{ö}dinger equation, from the Hamiltonian perspective, in the limit of well-separated, subsonic vortices on the background of a spatially-infinite strong condensate. As a corollary, we calculate to high accuracy the self-energy of an isolated elementary Pitaevskii vortex, for the first time.
arXiv comment7 pages with 2 figures. v3: Accepted for publication
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