A Free Relativistic Anyon with Canonical Spin Algebra
نویسنده
چکیده
We discuss a relativistic free particle with fractional spin in 2+1 dimensions, where the dual spin components satisfy the canonical angular momentum algebra {Sμ, Sν} = ǫμνγS γ . It is shown that it is a general consequence of these features that the Poincarè invariance is broken down to the Lorentz one, so indicating that it is not possible to keep simultaneously the free nature of the anyon and the translational invariance. e-mail: dalmazi@grt∅∅∅.uesp.ansp.br e-mail :dutra@grt∅∅∅.uesp.ansp.br
منابع مشابه
Anyons and the Landau problem in the noncommutative plane
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متن کاملar 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
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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 1994