Thomas-Fermi Method For Particles Obeying Generalized Exclusion Statistics

Sen, Diptiman and Bhaduri, RK (1995) Thomas-Fermi Method For Particles Obeying Generalized Exclusion Statistics. In: Physical Review Letters, 74 (20). pp. 3912-3915.

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Official URL: http://prl.aps.org/abstract/PRL/v74/i20/p3912_1

Abstract

We use the Thomas-Fermi method to examine the thermodynamics of particles obeying Haldane exclusion statistics. Specifically, we study Calogero-Sutherland particles placed in a given external potential in one dimension. For the case of a simple harmonic potential (constant density of states), we obtain the exact one-particle spatial density and a {\it closed} form for the equation of state at finite temperature, which are both new results. We then solve the problem of particles in a $x^{2/3} ~$ potential (linear density of states) and show that Bose-Einstein condensation does not occur for any statistics other than bosons.

Item Type: Journal Article Copyright of this article belongs to The American Physical Society. Division of Physical & Mathematical Sciences > Centre for Theoretical Studies 27 May 2011 06:06 27 May 2011 06:06 http://eprints.iisc.ernet.in/id/eprint/37979