Fractional Quantization and Fractional Quantum Hall Effect

Details Fractional Quantization and Fractional Quantum Hall Effect Fractional Quantization and Fractional Quantum Hall Effect

1998-11-02

arxiv.org/abs/cond-mat/9811008v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 1 figures

Scientific paper

A fractional quantization in a two dimensional space is proposed.
The angular momenta of the two dimensional electrons are quantized in
fractional numbers by the boundary conditions on a multi-layered Riemann
surface. Extended wave functions for the incompressible quantum fluid states
are presented and the cohesive and the excitation energies are given.

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