Biblioteca Allievi della Scuola Superiore di Catania

Location | Call number | Status | Date due |
---|---|---|---|

530.144 S4744 (Browse shelf) | Available |

530.144 M3153.H.A588 Many-body approaches at different scales : | 530.144 M4449 A guide to Feynman diagrams in the many-body problem / | 530.144 P768 Many-body physics in condensed matter systems / | 530.144 S4744 Many-body physics, topology and geometry / | 530.144 W4678 Quantum field theory of many-body systems : | 530.15 A588 Esercizi di metodi matematici della fisica / | 530.15 B523 Metodi matematici della fisica / |

Includes bibliographical references and index.

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.