Turning Bosons into Fermions: Exclusion Statistics, Fractional Statistics and the Simple Harmonic Oscillator
Condensed Matter
2008-11-26 v1 High Energy Physics - Theory
Quantum Algebra
q-alg
Quantum Physics
Abstract
Motivated by Haldane's exclusion statistics, we construct creation and annihilation operators for -ons using a bosonic algebra. We find that -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.
Keywords
Cite
@article{arxiv.cond-mat/9510046,
title = {Turning Bosons into Fermions: Exclusion Statistics, Fractional Statistics and the Simple Harmonic Oscillator},
author = {A. D. Speliotopoulos},
journal= {arXiv preprint arXiv:cond-mat/9510046},
year = {2008}
}
Comments
10 pages, ReVTeX 3.0