Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane | Zendy

P. A. Horváthy | Zendy; Mikhail S. Plyushchay | Zendy

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Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane

Author(s) -

P. A. Horváthy,

Mikhail S. Plyushchay

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/06/033

Subject(s) - noncommutative geometry , topological quantum computer , galilean , physics , symmetry (geometry) , theoretical physics , plane (geometry) , plane symmetry , galilean invariance , galilean transformation , classical mechanics , mathematical physics , quantum mechanics , geometry , mathematics , quantum

We show that the Lukierski et al. model, invariant with respect to thetwo-fold centrally extended Galilei group, can be decomposed into an infinitenumber of independent copies (differing in their spin) of the ``exotic''particle of Duval et al. The difference between the two models is found to besensitive to electromagnetic coupling. The nature of the noncommutative planecoordinates is discussed in the light of the exotic Galilean symmetry. We provethat the first model, interpreted as describing a non-relativistic anyon, isthe non-relativistic limit of a particle with torsion related to relativisticanyons.Comment: 10 pages; final version to appear in JHE

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