A two-dimensional interacting system obeying Fractional Exclusion Statistics

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dc.creatorSrivastava, M. K.
dc.creatorBhaduri, R. K.
dc.creatorLaw, J.
dc.creatorMurthy, M. V. N.
dc.date1999-02-11
dc.date.accessioned2026-07-07T03:12:47Z
dc.date.available2026-07-07T03:12:47Z
dc.descriptionWe consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a self-consistent Hartree-Fock calculation. The two results are shown to agree even for a small number of particles. We next use the finite temperature Thomas-Fermi method to demonstrate that in the local density approximation, these interacting fermions are equivalent to a system of noninteracting particles obeying the Haldane-Wu fractional exclusion statistics. It is also shown that mapping onto to a system of N noninteracting quasi-particles enables us to predict the energies of the excited states of the N-body system.
dc.descriptionLatex(Revtex) + 2 postscript figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9902158
dc.identifierhttp://arxiv.org/abs/cond-mat/9902158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29048
dc.subjectCondensed Matter
dc.titleA two-dimensional interacting system obeying Fractional Exclusion Statistics
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