학술논문
Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schr\'odinger equation
Document Type
Working Paper
Source
Phys. Rev. E 107, 025107 (2023)
Subject
Language
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.
Comment: 7 pages with 2 figures. v3: Accepted for publication
Comment: 7 pages with 2 figures. v3: Accepted for publication