Published September 7, 1997 | Version v1
Journal article

Turning bosons into fermions: exclusion statistics, fractional statistics and the simple harmonic oscillator

  • 1. Institute of Physics, Academia Sinica, Nankang, Taipei, Taiwan (China)

Description

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 discrete 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. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
30
Journal Issue
17
Journal Page Range
p. 6177-6183
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
Syrian Arab Republic
INIS RN
32053400
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ANNIHILATION OPERATORS; BOSONS; CREATION OPERATORS; FERMIONS; FIELD ALGEBRA; HARMONIC OSCILLATORS; QUANTUM FIELD THEORY; STATISTICAL MODELS; SYMMETRY
Descriptors DEC
FIELD THEORIES; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS