Multiparticle Schrodinger operators with point interactions in the plane
Mathematical Physics
2009-11-10 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0403006,
title = {Multiparticle Schrodinger operators with point interactions in the plane},
author = {J. Dimock and S. G. Rajeev},
journal= {arXiv preprint arXiv:math-ph/0403006},
year = {2009}
}
Comments
17 pages, Latex