Anyon in an external electromagnetic field : Hamiltonian and Lagrangian formulations

We propose a simple model for a free relativistic particle of fractional spin in 2+1 dimensions. Using the Hamiltonian formulation with the set of constraints, we introduce the electromagnetic interaction of a charged anyon and obtain the Lagrangian. The Casimir operator of the extended algebra, whi...

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Bibliographic Details
Published in:Physical review letters 1993-11, Vol.71 (21), p.3405-3408
Main Authors: CHAICHIAN, M, GONZALEZ FELIPE, R, MARTINEZ, D. L
Format: Article
Language:English
Subjects:
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
ANYONS
CASIMIR OPERATORS
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
ENERGY RANGE
EQUATIONS
EQUATIONS OF MOTION
Exact sciences and technology
Field theory
FUNCTIONS
General theory of fields and particles
GYROMAGNETIC RATIO
HAMILTONIANS
Lagrangian and hamiltonian approach
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM OPERATORS
QUASI PARTICLES
RELATIVISTIC RANGE
The physics of elementary particles and fields
THREE-DIMENSIONAL CALCULATIONS
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Summary:We propose a simple model for a free relativistic particle of fractional spin in 2+1 dimensions. Using the Hamiltonian formulation with the set of constraints, we introduce the electromagnetic interaction of a charged anyon and obtain the Lagrangian. The Casimir operator of the extended algebra, which is the first-class constraint, is obtained and gives the equation of motion of the anyon. In particular, from the latter it follows that the gyromagnetic ratio for a charged anyon is two due to the parallelness of spin and momentum of the particle in 2+1 dimensions. The canonical quantization is also considered.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.71.3405