  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.
