On the Geometry of Relativistic Anyon

Details On the Geometry of Relativistic Anyon On the Geometry of Relativistic Anyon

1997-04-25

arxiv.org/abs/hep-th/9704182v3

Mod.Phys.Lett. A12 (1997) 1783

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX

Scientific paper

10.1142/S0217732397001813

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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