Multiparticle Schrodinger operators with point interactions in the plane

Details Multiparticle Schrodinger operators with point interactions in the plane Multiparticle Schrodinger operators with point interactions in the plane

2004-03-04

arxiv.org/abs/math-ph/0403006v1

Physics

Mathematical Physics

17 pages, Latex

Scientific paper

10.1088/0305-4470/37/39/008

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.

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