Classes of f-Deformed Landau Operators: Nonlinear Noncommutative Coordinates from Algebraic Representations
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چکیده
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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تاریخ انتشار 2008