Fractional Quantization and Fractional Quantum Hall Effect

Hyeong Rag Lee

Published 1998-11-02Version 1

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.