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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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.

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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