Topology and Condensed Matter Physics
This book introduces aspects of topology and applications to problems in condensed matter physics. Basic topics in mathematics have been introduced in a form accessible to physicists, and the use of topology in quantum, statistical and solid state physics has been developed with an emphasis on pedag...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Singapore
Springer Nature Singapore
2017, 2017
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| Edition: | 1st ed. 2017 |
| Series: | Texts and Readings in Physical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Chapter 1. Overview of Topological Ideas in Condensed Matter Physics
- Chapter 2. Set Topology
- Chapter 3. Homotopy theory
- Chapter 4. Homology
- Chapter 5. Differential Topology and Differential Geometry
- Chapter 6. Vector Bundles
- Chapter 7. Special Topics: A Crash Course on Knots
- Chapter 8. Special Topics: A Short Course on Group Theory
- Chapter 9. Use of Topology in physical problems
- Chapter 10. What is dimension?
- Chapter 11. Quantum Geometry and Topology
- Chapter 12. Topology, geometry and quantum interference in condensed matter physics
- Chapter 13. Dirac quasiparticles and Majorana modes in condensed matter systems
- Chapter 14. Vertex Models and Knot invariants
- Chapter 15. Concepts of polymer statistical topology
- Chapter 16. Introduction to abelian and non-abelian anyons.-Chapter 17. An introduction to Quantum Spin Liquids
- Chapter 18. Topological aspects of quantum information processing