Quantum corrections to the Thomas-Fermi theory for fractional-statistics particles
Anno: 1996
Autori: Smerzi A.
Affiliazione autori: 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.
Giornale/Rivista: PHYSICAL REVIEW LETTERS
Volume: 76 (4) Da Pagina: 559 A: 562
Parole chiavi: Many-body Problem; Ground-state; One Dimension; Dynamics; Chain; ModelDOI: 10.1103/PhysRevLett.76.559Citazioni: 9dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-06-29Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
