Turning Bosons into Fermions: Exclusion Statistics, Fractional Statistics and the Simple Harmonic Oscillator

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dc.creatorSpeliotopoulos, A. D.
dc.date1995-10-10
dc.date.accessioned2026-07-07T10:57:50Z
dc.date.available2026-07-07T10:57:50Z
dc.descriptionMotivated by Haldane's exclusion statistics, we construct creation and annihilation operators for $g$-ons using a bosonic algebra. We find that $g$-ons appear due to the breaking of a descrete symmetry of the original bosonic system. This symmetry is intimately related to the braid group and we demonstrate a link between exclusion statistics and fractional statistics.
dc.description10 pages, ReVTeX 3.0
dc.identifierhttps://arxiv.org/abs/cond-mat/9510046
dc.identifierhttp://arxiv.org/abs/cond-mat/9510046
dc.identifierJ.Phys.A30:6177-6183,1997
dc.identifierdoi:10.1088/0305-4470/30/17/024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186895
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subjectQuantum Physics
dc.titleTurning Bosons into Fermions: Exclusion Statistics, Fractional Statistics and the Simple Harmonic Oscillator
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