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OverviewThe 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. Full Product DetailsAuthor: Vincent Rivasseau , Robert Seiringer , Jan Philip Solovej , Thomas SpencerPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2012 ed. Volume: 2051 Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.308kg ISBN: 9783642295102ISBN 10: 364229510 Pages: 180 Publication Date: 28 June 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of Contents1.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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |