Fractional Quantization and Fractional Quantum Hall Effect
Abstract
Description
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.
9 pages, 1 figures
9 pages, 1 figures