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arXiv · hep-th/9309151

Anyon in External Electromagnetic Field: Hamiltonian and Lagrangian Formulations

M. Chaichian·R. Gonzalez Felipe·D. Louis Martinez
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Abstract

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.

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M. Chaichian, R. Gonzalez Felipe, D. Louis Martinez. 1993-09-27. Anyon in External Electromagnetic Field: Hamiltonian and Lagrangian Formulations. https://doi.org/10.1103/physrevlett.71.3405

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