Murthy, MVN and Bhaduri, RK and Diptiman, Sen (1996) Novel correlations in two dimensions: Some exact solutions. In: Physical Review Letters, 76 (22). 4103-4106 .
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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|
|Additional Information:||Copyright of this article belongs to The American Physical Society.|
|Date Deposited:||07 May 2011 04:51|
|Last Modified:||07 May 2011 04:51|
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