Quantum many body systems : Cetraro, Italy 2010
 Language
 English.
 Imprint
 Heidelberg ; New York : Springer Verlag, c2012.
 Physical description
 xiii, 180 p. : ill. ; 23 cm.
 Series
 Lecture notes in mathematics (SpringerVerlag) 2051.
Access
Available online

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QA3 .L28 V.2051

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QA3 .L28 V.2051
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 1.Introduction to the Renormalization Group with Applications to NonRelativistic Quantum Electron Gases. Vincent Rivasseau. 2.Cold Quantum Gases and BoseEinstein Condensation. Robert Seiringer. 3. Quantum Coulomb gases. Jan Philip Solovey. 4. SUSY Statistical Mechanics and Random Band Matrices. Thomas Spencer.
 (source: Nielsen Book Data)
 Publisher's 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 BoseEinstein condensation in the GrossPitaevski 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Responsibility
 Vincent Rivasseau ... [et al.] ; editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason.
 Series
 Lecture notes in mathematics ; 2051
 Note
 Additional authors: Robert Seiringer; Jan Philip Solovej; Thomas Spencer.
 ISBN
 9783642295102
 364229510X