Quantum many body systems : Cetraro, Italy 2010 /

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Bibliographic Details
Imprint:Berlin ; New York : Springer, ©2012.
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
Hidden Bibliographic Details
Other authors / contributors:Rivasseau, Vincent, 1955-
Giuliani, Alessandro.
Mastropietro, Vieri.
Jakob Yngvason.
Topics in Mathematical Fluid Mechanics (Summer School) (2010 : Cetraro, Italy)
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.