On the Geometry of Relativistic Anyon
نویسنده
چکیده
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. ∗Work is supported by INTAS-RFBR grant No. 95-0829. †e-mail:[email protected]
منابع مشابه
ar X iv : h ep - t h / 97 04 18 2 v 3 3 0 A pr 1 99 7 On the Geometry of Relativistic Anyon
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 des...
متن کاملar X iv : h ep - t h / 97 04 18 2 v 1 2 5 A pr 1 99 7 On the Geometry of Relativistic Anyon
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 des...
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تاریخ انتشار 1997