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.
|