Deformed "Commutative" Chern - Simons System

Details Deformed "Commutative" Chern - Simons System Deformed "Commutative" Chern - Simons System

2009-07-30

arxiv.org/abs/0907.5280v1

Annals Phys.324:1847-1854,2009

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/j.aop.2009.06.002

Noncommutative Chern - Simons' system is non-perturbatively investigated at a full deformed level. A deformed "commutative" phase space is found by a non-canonical change between two sets of deformed variables of noncommutative space. It is explored that in the "commutative" phase space all calculations are similar to the case in commutative space. Spectra of the energy and angular momentum of the Chern - Simons' system are obtained at the full deformed level. The noncommutative-commutative correspondence is clearly showed. Formalism for the general dynamical system is briefly presented. Some subtle points are clarified.

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