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内容大纲
量子霍尔效应是物理学中一个最吸引人的最美的现象,量子霍尔效应一直以来是研究的热门话题,而且在这个领域大量的理论研究和实验还在继续,玻色子、费米子和任意子都是出版中突出热点话题。在《量子霍尔效应(第3版)(英文版)》中,作者江沢使用大篇幅描述一个和双分子层系统结合的内部层相有关的有趣现象。量子霍尔的微观理论是基于不可交换的几何形态形成的。石墨烯的电子动态可以对研究相对论费米子,甚至是超对称量子机制有很重要的作用。 -
作者介绍
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目录
Preface
Part. I Quantum Field Theory
1. Quantum Mechanics
1.1 Hilbert Spaces
1.2 Canonical Formalism
1.3 Creation and Annihilation Operators
1.4 Uncertainty Principle
1.5 Coherent States and von Neumann Lattice
1.6 Squeezed Coherent State
1.7 Particle Number and Phase
1.8 Macroscopic Coherence
2. Quantum Field Theory
2.1 One-Body Hamiltonian
2.2 Many-Body Hamiltonian
2.3 Boson Field Operators
2.4 Quantum Field Theory
2.5 Fermion Field Operators
2.6 Electrons Interacting with Electromagnetic Field
3. Canonical Quantization
3.1 Relativistic Particles and Waves
3.2 Schr6dinger Field
3.3 Real Klein-Gordon Field
3.4 Complex Klein-Gordon Field
3.5 Nother Currents
4. Spontaneous Symmetry Breaking
4.1 Ferromagnets
4.2 Real Klein-Gordon Field
4.3 Complex Klein-Gordon Field
4.4 Sigma Model
4.5 Spin Field
4.6 Schrodinger Field
4.7 Superfluidity
4.8 Goldstone Theorem
5. Electromagnetic Field
5.1 Maxwell Equations
5.2 Canonical Quantization
5.3 Interaction with Matter Field
5.4 Anderson-Higgs Mechanism
5.5 Massive Vector Field
5.6 Superconductivity
5.7 Aharonov-Bohm Effect
6. Dirac Field
6.1 Dirac Equation
6.2 Plane Wave Solutions
6.3 Canonical Quantization
6.4 Interaction with Electromagnetic Field
6.5 Weyl Field (Massless Dirac Field)
6.6 Massless Dirac Electrons in Magnetic Field
7. Topological Solitons
7.1 Topological Sectors
7.2 Classical Fields
7.3 Solitary Waves, Kinks and Solitons
7.4 Sine-Gordon Solitons
7.5 Vortex Solitons
7.6 Homotopy Classes
7.7 0(3) Skyrmions
7.8 SU(N) Skyrmions or CPN-1 Skyrmions
7.9 Skyrmions in Ferromagnets
8. Anyons
8.1 Spin and Statistics
……
Part. II Monolayer Quantum Hall Systems
9. Overview of Monolayer QH Systems
10. Landau Quantization
11. Quantum Hall Effects
12. Quasiparticles and Activation Energy
13. Field Theory of Composite Particles
14. Composite Bosons and Semiclassical Analysis
15. Quantum Hall Ferromagnets
16. Spin Textures
17. Hierarchy of Fractional QH States
18. Edge Effects
19. Stripes and Bubbles in Higher Landau Levels
20. Quantum Hall Effects in Graphene
21. Quantum Hall Effects in Silicene
22. Topological Insulators and QH Effects without Landau Levels
Part. III Bilayer Quantum Hall Systems
23. Overview of Bilayer QH Systems
24. SU(2) Pseudospin Structure
25. Bilayer-Locked States
26. Interlayer Coherence and Josephson Effects
27. Commensurate and Incommensurate Phases
28. SU(4) Quantum Hall Ferromagnets
29. Bilayer Quantum Hall Systems at v = 2
Part. IV Microscopic Theory
30. Overview of Microscopic Theory
31. Noncommutative Geometry
32. Landau Level Projection
33. Noncommutative Solitons
34. Exchange Interactions and Effective Theory
Part. V Recent Experimental Developments
35. Overview of New Experimental Developments
36. Real-Space Observation of Quantum Hall States
37. Collective Excitations in Integer and Fractional QH Systems
38. Hyperfine Interactions in Quantum Hall Regime
39. Microwave-induced Nonequilibrium Phenomena
40. Superfluid Properties of Electron Bilayers
41. Quantum Hall Effect in ZnO
Appendices
References
Index
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