Classes of f-Deformed Landau Operators: Nonlinear Noncommutative   Coordinates from Algebraic Representations
  We consider, in a superspace, new operator dependent noncommutative (NC) geometries of the nonlinear quantum Hall limit related to classes of f-deformed Landau operators in the spherical harmonic well. Different NC coordinate algebras are determined using unitary representation spaces of Fock-Heisenberg tensored algebras and of the Schwinger-Fock realisation of the su(1,1) Lie algebra. A reduced model allowing an underlying N=2 superalgebra is also discussed. 
Joseph Ben Geloun (1), Jan Govaerts (2,3,1), M. N. Hounkonnou (1) ((1)   ICMAP, Cotonou, Rep. Benin, (2) CP3, UCL, Louvain-l...