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arXiv · 2208.10412

Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schr\"odinger equation

Jonathan Skipp·Jason Laurie·Sergey Nazarenko
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Abstract

We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schr{\"o}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.

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Jonathan Skipp, Jason Laurie, Sergey Nazarenko. 2022-08-22. Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schr\"odinger equation. https://doi.org/10.1103/physreve.107.025107

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