© 2012

Quantum Many Body Systems

Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason


Part of the Lecture Notes in Mathematics book series (LNM, volume 2051)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2051)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jan Philip Solovej
    Pages 93-124
  3. Back Matter
    Pages 179-180

About this book


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.


82B10; 81V70; 82B28; 82B44 Interacting Fermi and Bose systems Mathematical physics Quantum many body problem Quantum statistical mechanics

Authors and affiliations

  1. 1.Laboratoire de Physique ThéoriqueUniversité Paris-SudOrsayFrance
  2. 2.Dept. of Mathematics and StatisticsMcGill UniversityMontrealCanada
  3. 3.University of CopenhagenCopenhagenDenmark
  4. 4., School of MathematicsInstitute for Advanced StudyPrincetonUSA

Bibliographic information