paper

Multiparticle Schrodinger operators with point interactions in the plane

arXiv:math-ph/0403006 · doi:10.1088/0305-4470/37/39/008

Abstract

We study a system of N bosons in the plane interacting with delta function potentials. After a coupling constant renormalization we show that the Hamiltonian defines a self-adjoint operator and obtain a lower bound for the energy. The same results hold if one includes a regular inter-particle potential.

17 pages, Latex

Multiparticle Schrodinger operators with point interactions in the plane · wovepaper