Quantum many body systems : Cetraro, Italy 2010 /
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Imprint: | Berlin ; New York : Springer, ©2012. |
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Description: | 1 online resource. |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 2051 Lecture notes in mathematics (Springer-Verlag) ; 2051. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11077035 |
Other authors / contributors: | Rivasseau, Vincent, 1955- Giuliani, Alessandro. Mastropietro, Vieri. Jakob Yngvason. Topics in Mathematical Fluid Mechanics (Summer School) (2010 : Cetraro, Italy) |
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ISBN: | 9783642295119 3642295118 364229510X 9783642295102 9783642295102 |
Notes: | Includes bibliographical references. |
Summary: | 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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