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Quantum many body systems : Cetraro, Italy 2010 / Vincent Rivasseau [and others] ; editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason.

Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 2051.Publication details: Berlin ; New York : Springer, ©2012.Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783642295119
  • 3642295118
  • 364229510X
  • 9783642295102
Subject(s): Genre/Form: Additional physical formats: Print version:: Quantum many body systems.DDC classification:
  • 530.14/4 23
LOC classification:
  • QC174.17.P7 Q3 2012
Other classification:
  • 82B10 | 81V70 | 82B28 | 82B44
Online resources:
Contents:
Introduction to the Renormalization Group with Applications to Non-relativistic Quantum Electron Gases / Vincent Rivasseau -- Cold Quantum Gases and Bose-Einstein Condensation / Robert Seiringer -- Quantum Coulomb Gases / Jan Philip Solovej -- SUSY Statistical Mechanics and Random Band Matrices / Thomas Spencer.
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
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Introduction to the Renormalization Group with Applications to Non-relativistic Quantum Electron Gases / Vincent Rivasseau -- Cold Quantum Gases and Bose-Einstein Condensation / Robert Seiringer -- Quantum Coulomb Gases / Jan Philip Solovej -- SUSY Statistical Mechanics and Random Band Matrices / Thomas Spencer.

Includes bibliographical references.

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

English.

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