Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-09-27
Phys.Rev.Lett. 71 (1993) 3405-3408; Erratum-ibid. 73 (1994) 2009
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, Latex, HU-SEFT R 1993-11
Scientific paper
10.1103/PhysRevLett.71.3405
We propose a simple model for a free relativistic particle of fractional spin in 2+1 dimensions which satisfies all the necessary conditions. The canonical quantization of the system leads to the description of one- particle states of the Poincare group with arbitrary spin. Using the Hamil- tonian formulation with the set of constraints, we introduce the electro- magnetic 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 in this case.
Chaichian Masud
Felipe Ricardo Gonzalez
Louis Martinez D.
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