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About this product
- DescriptionThe 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.
- Author(s)Kumar Sankar Gupta,Siddhartha Sen
- PublisherWorld Scientific Publishing Co Pte Ltd
- Date of Publication11/08/2015
- Place of PublicationSingapore
- Country of PublicationSingapore
- ImprintWorld Scientific Publishing Co Pte Ltd
- Weight522 g
- Width158 mm
- Height235 mm
- Spine14 mm
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