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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.

By: Rivasseau, Vincent [author.].
Contributor(s): Seiringer, Robert [author.] | Solovej, Jan Philip [author.] | Spencer, Thomas [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Mathematics: 2051Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012Description: XIII, 180 p. 11 illus., 1 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642295119.Subject(s): Mathematics | Mathematics | Mathematical Physics | Quantum Gases and Condensates | Strongly Correlated Systems, SuperconductivityDDC classification: 530.15 Online resources: Click here to access online
Contents:
 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.
In: Springer eBooksSummary: 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.
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 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.

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.

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