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Applications of the Collective Field Theory for the Calogero–Sutherland Model

✍ Scribed by Diptiman Sen; R.K. Bhaduri

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
344 KB
Volume
260
Category
Article
ISSN
0003-4916

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✦ Synopsis

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.

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