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Fractional Quantization and Fractional Quantum Hall Effect

1998/11/02 by Hyeong Rag Lee, Lee, Hyeong Rag
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Composite fermion #Fractional quantum Hall effect #Mathematical physics #Mathematics #Physics #Quantization (signal processing) #Quantum #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Surface and Thin Film Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/9811008

9 pages, 1 figures

arxiv created 1998/11/02 · openalex publication_date 1998/11/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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