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.

PDF Applications_of_the.pdf - Published Version Restricted to Registered users only Download (344Kb) | Request a copy

Abstract

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
Additional Information:	Copyright of this article is belongs to Academic Press
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Date Deposited:	06 Mar 2009 10:41
Last Modified:	19 Sep 2010 05:01
URI:	http://eprints.iisc.ernet.in/id/eprint/18404

Actions (login required)

View Item