Hall Effect on Noncommutative Phase Space
  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. 
Akira Kokado (1), Takashi Okamura (2) and Takesi Saito (2) ((1) Kobe   International Univ., (2) Dept. of Phys., Kwansei Gaku...