Hall Effect on Noncommutative Phase Space
arXiv:hep-th/0212320 · doi:10.1143/PTP.110.975
Abstract
When phase space coordinates are noncommutative, especially including arbitrarily noncommutative momenta, the Hall effect is reinvestigated. A minimally gauge-invariant coupling of electromagnetic field is introduced by making use of Faddeev-Jackiw formulation for unconstrained and constrained systems. We find that the parameter of noncommutative momenta makes an important contribution to the Hall conductivity.
11 pages, no figures, uses ptptex.cls