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Novel correlations in two dimensions: Some exact solutions

Murthy, MVN and Bhaduri, RK and Diptiman, Sen (1996) Novel correlations in two dimensions: Some exact solutions. In: Physical Review Letters, 76 (22). pp. 4103-4106.

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Official URL: http://prl.aps.org/abstract/PRL/v76/i22/p4103_1


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.

Item Type: Journal Article
Publication: Physical Review Letters
Publisher: The American Physical Society
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 07 May 2011 04:51
Last Modified: 14 Nov 2018 15:12
URI: http://eprints.iisc.ac.in/id/eprint/37424

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