TITLE:
A Model for the Quantization of the Hall Resistance in the Quantum Hall Effect
AUTHORS:
Paul Bracken
KEYWORDS:
Anyon, Hall Resistance, Conductance, Composite Particles
JOURNAL NAME:
Journal of Modern Physics,
Vol.1 No.3,
September
8,
2010
ABSTRACT: Some aspects of anyon physics are reviewed with the intention of establishing a model for the quantization of the Hall conductance. A single particle Schrödinger model is introduced and coupled with a constraint equation formulated from the anyon picture. The Schrödinger equation-constraint system can be converted to a single nonlinear differential equation and solutions for the model can be produced.