Quantum Hall effects : field theoretical approach and related topics著者Zyun Francis Ezawa

pt. I. Quantum Field Theory. 1. Quantum Mechanics. 2. Quantum Field Theory. 3. Canonical Quantization. 4. Spontaneous Symmetry Breaking. 5. Electromagnetic Field. 6. Topological Solitons. 7. Anyons -- pt. II. Monolayer Quantum Hall Systems. 8. Introduction. 9. Landau Quantization. 10. Quantum Hall Effects. 11. Quasiparticles and Activation Energy. 12. Field Theory of Composite Particles. 13. Composite Bosons and Semiclassical Analysis. 14. Quantum Hall Ferromagnets. 15. Spin Textures. 16. Hierarchy of Fractional Quantum Hall States. 17. Edge Effects -- pt. III. Bilayer Quantum Hall Systems. 18. Introduction. 19. SU(2) Pseudospin Structure. 20. Bilayer-Locked States. 21. Interlayer-Coherent States. 22. Skyrmions in SU(4)-Invariant Regime. 23. Bilayer Quantum-Hall Junction -- pt. IV. Algebraic Approach. 24. Introduction. 25. Lowest-Landau-Level Projection. 26. Quantum Hall Effects in Algebraic Approach. 27. Effective Hamiltonian in Algebraic Approach. 28. Electric Currents in Bilayer Systems -- App. A. Hausdorff Formulas -- App. B. Pauli Matrices -- App. C. Cauchy-Riemann Equations -- App. D. Bogoliubov Transformation -- App. E. Energy-Momentum Tensor -- App. F. Exchange Interaction -- App. G. One-Dimensional Soliton Solutions -- App. H. Field-Theoretical Vortex Operators -- App. I. Perturbative Analysis -- App. J. Bosonization in One-Dimensional Space.