A quantum many-body problem in two dimensions: ground state

Khare, Avinash ; Ray, Koushik (1997) A quantum many-body problem in two dimensions: ground state Physics Letters A, 230 (3-4). pp. 139-143. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03759...

Related URL: http://dx.doi.org/10.1016/S0375-9601(97)00233-8

Abstract

We obtain the exact ground state for the Calogero-Sutherland problem in arbitrary dimensions. In the special case of two dimensions, we show that the problem is connected to the random matrix problem for complex matrices, provided the strength of the inverse-square interaction g = 2. In the thermodynamic limit, we obtain the ground state energy and the pair-correlation function and show that in this case there is no long-range order.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:17719
Deposited On:16 Nov 2010 12:48
Last Modified:17 May 2016 02:20

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