Murthy, M. V. N. ; Bhaduri, R. K. ; Sen, Diptiman (1996) Novel correlations in two dimensions: some exact solutions Physical Review Letters, 76 (22). pp. 4103-4106. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v76/i22/p4103_1
Related URL: http://dx.doi.org/10.1103/PhysRevLett.76.4103
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: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 25540 |
| Deposited On: | 06 Dec 2010 13:15 |
| Last Modified: | 04 Jul 2012 04:46 |
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