Quantum Many Body Systems Cetraro, Italy 2010 |
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Author:
| Rivasseau, Vincent Seiringer, Robert Solovej, Jan Philip Spencer, Thomas |
Other Adaptation by:
| Giuliani, Alessandro Mastropietro, Vieri Yngvason, Jakob |
Series title: | Lecture Notes in Mathematics Ser. |
ISBN: | 978-3-642-29510-2 |
Publication Date: | Jun 2012 |
Publisher: | Springer Berlin / Heidelberg
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Imprint: | Springer |
Book Format: | Paperback |
List Price: | USD $49.95 |
Book Description:
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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...
More DescriptionThe 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.