Quantum many body systems

The book is based on the lectures given at the CIME school "Quantum many bodysystems" 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 theemergence 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 thetheory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights. INDICE: 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.

• ISBN: 978-3-642-29510-2
• Editorial: Springer
• Encuadernacion: Rústica
• Fecha Publicación: 31/07/2012
• Nº Volúmenes: 1
• Idioma: Inglés