Classes of f-Deformed Landau Operators: Nonlinear Noncommutative Coordinates from Algebraic Representations
High Energy Physics - Theory
2008-12-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0812.0725,
title = {Classes of f-Deformed Landau Operators: Nonlinear Noncommutative Coordinates from Algebraic Representations},
author = {Joseph Ben Geloun and Jan Govaerts and M. N. Hounkonnou},
journal= {arXiv preprint arXiv:0812.0725},
year = {2008}
}
Comments
Contribution to the Proceedings of the Fifth International Workshop on Contemporary Problems in Mathematical Physics, October 27 - November 2, 2007, Cotonou (Republic of Benin), 6 pages