Machine derived contents note: 1. Introduction -- 2. Topological methods for description of quantum many-body systems -- 3. Quantization of many-particle systems and quantum statistics in lower dimensions -- 4. Topological approach to composite particles in two dimensions -- 5. Many-body methods for Chern-Simons systems -- 6. Anyon superconductivity -- 7. The fractional quantum Hall effect in composite fermion systems -- 8. Quantum Hall systems on a sphere -- 9. Pseudopotential approach to the fractional quantum Hall states
Summary
This text presents the wide range of topics in two-dimensional physics of quantum Hall systems, especially fractional quantum Hall states. It covers the fundamental problems of two-dimensional quantum statistics in terms of topology and the Chern-Simons theory
Bibliography
Includes bibliographical references (pages 137-142) and index