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Anyon in an external electromagnetic field: Hamiltonian and Lagrangian formulations

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, which is the first-class constraint, …