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非相对论物理学中的拓扑量子数

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非相对论物理学中的拓扑量子数

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出 版 社:世界图书出版公司

出版时间:2000 年6月

I S B N:7506247224

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内容简介

This book developed from a series of lectures given at the University of Washington in the winter of 1994, and I am particularly grateful to the people who attended those lectures and provided lively discussion of the material presented. Among the people who have particularly helped to sharpen my views of this material are my colleagues and former colleagues Ian Aitchison, Ping Ao, Michael Geller, Qian Niu and Boris Spivak, and my students Junghoon Han, Kiril Tsemekhman, Vadim Tsemekhman and Carlos Wexler. Carlos Wexler and Kiril Tsemekhman also helped by turning many of my figures into postscript files, and all of my students have provided me with instruction in the intelligent use of Latex. ...
  

作者简介

目录

preface.
1. introduction
1.1 whole numbers in physics
1.2 quantum numbers due to symmetry and topological quantum numbers
1.3 topics covered in this book
1.4 order parameters and broken symmetry
1.5 homotopy classes
1.6 defects
2. quantization of electric ,charge
2.1 magnetic monopoles an(/electric charge
2.2 gauge invariance and the aharonov-bohm effect
3. circulation and vortices in superfiuid he
3.1 theory of bose superfiuids
3.2 vortex lines
3.3 detection of quantized circulation and vortices
3.4 the magnus force
4. superconductivity and flux quantization
4.1 superfiuids and superconductors
4.2 order parameter for superconductors
4.3 london's equation and flux quantization
.4.4 types i and ii superconductors
4.5 ginzburg-landau theory
4.6 flux-line lattice
5. josephson effects
5.1 josephson junctions and squids..
5.2 voltage-frequency relation
6. superfiuid she
6.1 the nature of the order parameter
6.2 vortices and circulation in superfiuid 3he
6.3 defects and textures
6.4 superfiuid she in thin films and narrow channels
7. the quantum hall effect
7.1 introduction
7.2 proportionality of current density and electric field
7.3 bloch's theorem and the laughlin argument
7.4 chern numbers
7.5 long range order in quantum hall systems
7.6 edge states in the integer quantum hall effect
7.7 fractional quantum hall effect
7.8 fractional quantization and degenerate ground states
7.9 topology of fractional quantum hall fluids
7.10 coupled quantum hall systems
8. solids and liquid crystals
8.1 dislocations in solids
8.2 order in liquid crystals
8.3 defects and textures
9. topological phase transitions
9.1 introduction
9.2 the vortex induced transition in superfiuid helium films
9.3 two-dimensional magnetic systems
9.4 topological order' in solids
9.5 superconducting films and layered materials
9.6 josephson junction arrays
references...

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