Many-body Physics, Topology And Geometry
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A01=Kumar Sankar Gupta
A01=Siddhartha Sen
Author_Kumar Sankar Gupta
Author_Siddhartha Sen
Category=PBM
Category=PBP
Category=PHFC
Condensed Matter Physics
Differential Geometry
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eq_nobargain
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Graphene
K-Theory
Many-Body Problem
Mathematical Physics
Quasiparticles
Self-Adjoint Extensions
Superconductivity
Superfluidity
Topological Insulator
Topology
Product details
- ISBN 9789814678162
- Publication Date: 11 Aug 2015
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics. With this aim, a brief intuitive introduction to many-body theory is given as a powerful qualitative tool for understanding complex systems. The important emergent concept of a quasiparticle is then introduced as a way to reduce a many-body problem to a single particle quantum problem. Examples of quasiparticles in graphene, superconductors, superfluids and in a topological insulator on a superconductor are discussed.The mathematical idea of self-adjoint extension, which allows short distance information to be included in an effective long distance theory through boundary conditions, is introduced through simple examples and then applied extensively to analyse and predict new physical consequences for graphene.The mathematical discipline of topology is introduced in an intuitive way and is then combined with the methods of differential geometry to show how the emergence of gapless states can be understood. Practical ways of carrying out topological calculations are described.
