1.

Record Nr.

UNISA996466475503316

Autore

Rivasseau Vincent

Titolo

Quantum Many Body Systems [[electronic resource] ] : Cetraro, Italy 2010, Editors:  Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason / / by Vincent Rivasseau, Robert Seiringer, Jan Philip Solovej, Thomas Spencer

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012

ISBN

3-642-29511-8

Edizione

[1st ed. 2012.]

Descrizione fisica

1 online resource (XIII, 180 p. 11 illus., 1 illus. in color.)

Collana

C.I.M.E. Foundation Subseries ; ; 2051

Classificazione

82B1081V7082B2882B44

Disciplina

530.15

Soggetti

Mathematical physics

Phase transformations (Statistical physics)

Condensed materials

Superconductivity

Superconductors

Mathematical Physics

Quantum Gases and Condensates

Strongly Correlated Systems, Superconductivity

Cetraro <2010>

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Additional authors: Robert Seiringer; Jan Philip Solovej; Thomas Spencer.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

 1.Introduction to the Renormalization Group with Applications to Non-Relativistic Quantum Electron Gases. Vincent Rivasseau -- 2.Cold Quantum Gases and Bose-Einstein Condensation. Robert Seiringer -- 3. Quantum Coulomb gases. Jan Philip Solovey -- 4. SUSY Statistical Mechanics and Random Band Matrices. Thomas Spencer.

Sommario/riassunto

The book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity; R. Seiringer



describes a proof of Bose-Einstein condensation in the Gross-Pitaevski limit and explains the effects of rotating traps and the emergence of lattices of quantized vortices; J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to the functional analytic methods used to prove their thermodynamic stability; finally, T. Spencer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights.