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

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

1995-10-10

arxiv.org/abs/cond-mat/9510046v1

J.Phys.A30:6177-6183,1997

Physics

Condensed Matter

10 pages, ReVTeX 3.0

Scientific paper

10.1088/0305-4470/30/17/024

Motivated 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.

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