Multiparticle Schrodinger operators with point interactions in the plane

2004/03/04 by J. Dimock, S. G. Rajeev · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:81Q10 #msc:81Q05

paper · pdf · doi:10.1088/0305-4470/37/39/008

17 pages, Latex

arxiv created 2004/03/04 · arxiv updated 2009/12/01

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.

Cited by

• On point interactions in two dimensions via additive functionals