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Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schrödinger equation.

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We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schrödinger equation, from the Hamiltonian perspective, in the limit of well-separated, subsonic vortices on the… Click to show full abstract

We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schrödinger 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.

Keywords: two dimensional; dimensional nonlinear; vortex model; derivation point; nonlinear schr; point vortex

Journal Title: Physical review. E
Year Published: 2022

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