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arXiv · hep-th/9704182

On the Geometry of Relativistic Anyon

A. Nersessian
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Abstract

A twistor model is proposed for the free relativistic anyon. The Hamiltonian reduction of this model by the action of the spin generator leads to the minimal covariant model; whereas that by the action of spin and mass generators, to the anyon model with free phase space that is a cotangent bundle of the Lobachevsky plane with twisted symplectic structure. Quantum mechanics of that model is described by irreducible representations of the (2+1)-dimensional Poincare' group.

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A. Nersessian. 1997-04-30. On the Geometry of Relativistic Anyon. https://doi.org/10.1142/s0217732397001813

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