Quantum mechanics and field theory with fractional spin and statistics

Journal Article · Wed Jan 01 00:00:00 EST 1992 · Reviews of Modern Physics; (United States)

DOI:https://doi.org/10.1103/RevModPhys.64.193· OSTI ID:5082099

Forte, S ^[1]

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1. Service de Physique Theorique, C.E. Saclay, F-91191 Gif-sur-Yvette CEDEX (France)

Planar systems admit quantum states that are neither bosons nor fermions, i.e., whose angular momentum is neither integer nor half-integer. After a discussion of some examples of familiar models in which fractional spin may arise, the relevant (nonrelativistic) quantum mechanics is developed from first principles. The appropriate generalization of statistics is also discussed. Some physical effects of fractional spin and statistics are worked out explicitly. The group theory underlying relativistic models with fractional spin and statistics is then introduced and applied to relativistic particle mechanics and field theory. Field-theoretical models in 2+1 dimensions are presented which admit solitons that carry fractional statistics, and are discussed in a semiclassical approach, in the functional integral approach, and in the canonical approach. Finally, fundamental field theories whose Fock states carry fractional spin and statistics are discussed.

• OSTI ID: 5082099
• Journal Information: Reviews of Modern Physics; (United States), Vol. 64:1; ISSN 0034-6861
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
FERMI STATISTICS
QUANTUM MECHANICS
ADIABATIC APPROXIMATION
ANGULAR MOMENTUM
BOSE-EINSTEIN STATISTICS
BOSONS
CENTRAL POTENTIAL
FERMIONS
FEYNMAN PATH INTEGRAL
FOCK REPRESENTATION
GROUP THEORY
HALL EFFECT
LORENTZ GROUPS
PARTITION FUNCTIONS
POINCARE GROUPS
QUANTUM NUMBERS
SOLENOIDS
SOLITONS
SPIN
ELECTRIC COILS
ELECTRICAL EQUIPMENT
EQUIPMENT
FIELD THEORIES
FUNCTIONS
INTEGRALS
LIE GROUPS
MATHEMATICS
MECHANICS
PARTICLE PROPERTIES
POTENTIALS
QUASI PARTICLES
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)