
Quantum Many Body Systems
Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason
Springer (Publisher)
Published on 28. June 2012
Book
Paperback/Softback
XIII, 180 pages
978-3-642-29510-2 (ISBN)
Description
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.
More details
Series
Edition
2012 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
10 s/w Abbildungen, 1 farbige Abbildung
XIII, 180 p. 11 illus., 1 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 11 mm
Weight
306 gr
ISBN-13
978-3-642-29510-2 (9783642295102)
DOI
10.1007/978-3-642-29511-9
Schweitzer Classification
Other editions
Additional editions

Vincent Rivasseau | Robert Seiringer | Jan Philip Solovej
Quantum Many Body Systems
Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason
E-Book
06/2012
Springer
€35.30
Available for download
Persons
Content
1. Introduction to the Renormalization Group with Applications to Non-Relativistic Quantum Electron Gases. Vincent Rivasseau.- 2. Cold Quantum Gases and Bose-Einstein Condensation. Robert Seiringer.- 3. Quantum Coulomb gases. Jan Philip Solovey.- 4. SUSY Statistical Mechanics and Random Band Matrices. Thomas Spencer.