Multi-particle Schrödinger operators with point interactions in the plane

J. Dimock; S. G. Rajeev

doi:10.1088/0305-4470/37/39/008

Multi-particle Schrödinger operators with point interactions in the plane

J. Dimock
, S. G. Rajeev

Mathematics

University of Rochester

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

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.

Original language	English
Pages (from-to)	9157-9173
Number of pages	17
Journal	Journal of Physics A: Mathematical and General
Volume	37
Issue number	39
DOIs	https://doi.org/10.1088/0305-4470/37/39/008
State	Published - Oct 1 2004

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title = "Multi-particle Schr{\"o}dinger operators with point interactions in the plane",

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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AB - 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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Multi-particle Schrödinger operators with point interactions in the plane

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