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Quantum many body systems : Cetraro, Italy 2010 / / Vincent Rivasseau ... [et al.] ; editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason



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Titolo: Quantum many body systems : Cetraro, Italy 2010 / / Vincent Rivasseau ... [et al.] ; editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason Visualizza cluster
Pubblicazione: Berlin ; ; New York, : Springer Verlag, 2012
Edizione: 1st ed. 2012.
Descrizione fisica: 1 online resource (XIII, 180 p. 11 illus., 1 illus. in color.)
Disciplina: 530.120151
Soggetto topico: Many-body problem
Mathematics
Classificazione: 82B1081V7082B2882B44
Altri autori: RivasseauVincent <1955->  
SeiringerRobert  
SolovejJan Philip  
SpencerThomas <1946->  
GiulianiAlessandro  
MastropietroVieri  
Jakob Yngvason  
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.
Titolo autorizzato: Quantum many body systems  Visualizza cluster
ISBN: 3-642-29511-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910484006803321
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Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 2051.