Quantum corrections to the Thomas-Fermi theory for fractional-statistics particles

Year: 1996

Authors: Smerzi A.

Autors Affiliation: Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801-3080, 1110 West Green Street, United States; Laboratorio Nazionale del Sud (LNS), Istituto Nazionale di Fisica Nucleare, Catania, 95125, Via Andrea Doria, Italy

Abstract: We derive quantum corrections to the semiclassical Thomas-Fermi distribution for systems obeying a fractional exclusion principle. We obtain a generalized Wigner Thomas-Fermi theory (GWTF) that describes, in a unified framework, boson, fermion, and fractional-statistics particles. In the high temperature limit it recovers the Wigner quantum corrections for the Gibbs-Boltzmann probability density. We apply this method to study the Calogero-Sutherland model with an external anharmonic potential. We show how quantum effects become more and more important as we increase the number of particles allowed to occupy a single quantum state.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 76 (4)      Pages from: 559  to: 562

KeyWords: Many-body Problem; Ground-state; One Dimension; Dynamics; Chain; Model
DOI: 10.1103/PhysRevLett.76.559

Citations: 9
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