Classes of f-Deformed Landau Operators: Nonlinear Noncommutative Coordinates from Algebraic Representations

Details Classes of f-Deformed Landau Operators: Nonlinear Noncommutative Coordinates from Algebraic Representations Classes of f-Deformed Landau Operators: Nonlinear Noncommutative Coordinates from Algebraic Representations

2008-12-03

arxiv.org/abs/0812.0725v1

Physics

High Energy Physics

High Energy Physics - Theory

Contribution to the Proceedings of the Fifth International Workshop on Contemporary Problems in Mathematical Physics, October

Scientific paper

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.

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