Hamiltonians for Two-Anyon Systems.
Michele Correggi, Luca Oddis

Abstract. We study the well-posedness of the Hamiltonian of a system of two anyons in the magnetic gauge. We identify all the possible quadratic forms realizing such an operator for non-interacting anyons and prove their closedness and boundedness from below. We then show that the corresponding self-adjoint operators give rise to a one-parameter family of extensions of the naive two-anyon Schrödinger operator. We finally extend the results in presence of a two-body radial interaction.

Rend. Mat. Appl. (7) 39 (2018) 277-292; pdf