Physical Observables for Noncommutative Landau Levels

Details Physical Observables for Noncommutative Landau Levels Physical Observables for Noncommutative Landau Levels

2005-11-29

arxiv.org/abs/hep-th/0511294v3

J.Phys.A39:4257-4272,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 6 figures, replaced with corrected version as it appears in J.Phys.A

Scientific paper

10.1088/0305-4470/39/16/012

The Quantum Mechanics of a point particle on a Noncommutative Plane in a magnetic field is implemented in the present work as a deformation of the algebra which defines the Landau levels. I show how to define, in this deformed Quantum Mechanics, the physical observables, like the density correlation functions and Green function, on the completely filled ground level. Also it will be shown that the deformation changes the effective magnetic field which acts on the particles at long range, leading to an incompressible fluid with fractional filling of Laughlin type.

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