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Novel correlations in two dimensions: Some exact solutions

M. V. N. Murthy·R. K. Bhaduri·Diptiman Sen
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Abstract

We construct a new many-body Hamiltonian with two- and three-body interactions in two space dimensions and obtain its exact many-body ground state for an arbitrary number of particles. This ground state has a novel pairwise correlation. A class of exact solutions for the excited states is also found. These excited states display an energy spectrum similar to the Calogero-Sutherland model in one dimension. The model reduces to an analog of the well-known trigonometric Sutherland model when projected on to a circular ring.

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M. V. N. Murthy, R. K. Bhaduri, Diptiman Sen. 1996-03-25. Novel correlations in two dimensions: Some exact solutions. https://doi.org/10.1103/physrevlett.76.4103

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