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Multiparticle Schrodinger operators with point interactions in the plane

J. Dimock·S. G. Rajeev
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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.

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J. Dimock, S. G. Rajeev. 2004-03-04. Multiparticle Schrodinger operators with point interactions in the plane. https://doi.org/10.1088/0305-4470%2F37%2F39%2F008

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