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Applications of the collective field theory for the Calogero-Sutherland model

Sen, Diptiman and Bhaduri, RK (1997) Applications of the collective field theory for the Calogero-Sutherland model. In: Annals of Physics, 260 (2). pp. 203-223.

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We use the collective field theory known for the Calogero-Sutherland model to study a variety of low-energy properties. These include the ground state energy in a confining potential up to the two leading orders in the particle number, the dispersion relation of sound modes with a comparison to the two leading terms in the low temperature specific heat, large amplitude waves, and single solution solutions. The two-point correlation function derived from the dispersion relation of the sound mode only gives its nonoscillatory asymptotic behavior correctly, demonstrating that the theory is applicable only for the low-energy and long wavelength excitations of the system.

Item Type: Journal Article
Publication: Annals of Physics
Publisher: Academic Press
Additional Information: Copyright of this article is belongs to Academic Press
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 06 Mar 2009 10:41
Last Modified: 19 Sep 2010 05:01
URI: http://eprints.iisc.ac.in/id/eprint/18404

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