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Many-body Physics, Topology And Geometry
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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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 220
ISBN-13: 9789814678162
Indbinding: Hardback
Udgave:
ISBN-10: 9814678163
Udg. Dato: 11 aug 2015
Længde: 21mm
Bredde: 160mm
Højde: 237mm
Oplagsdato: 11 aug 2015
Forfatter(e) Kumar Sankar (Saha Inst Of Nuclear Phys Gupta, Siddhartha (Trinity College Dublin Sen, Kumar Sankar Gupta, Siddhartha Sen


Kategori Kondenserede fasers fysik: væskeform og faststoffysik


Sprog Engelsk


Indbinding Hardback


Sider 220


Udgave


Længde 21mm


Bredde 160mm


Højde 237mm

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