Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.

Bose-Einstein condensation. --- Bose-Einstein gas --- Mathematics. --- Bose gas --- Gas, Bose-Einstein --- Photons --- Quantum statistics --- Bose condensed fluids --- Bose condensed liquids --- Bose fluids --- Bose liquids --- Einstein condensation --- Bosons --- Condensation --- Superfluidity --- Mathematical physics. --- Statistical physics. --- Condensed Matter Physics. --- Applications of Mathematics. --- Mathematical Methods in Physics. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Physics --- Mathematical statistics --- Physical mathematics --- Math --- Science --- Statistical methods --- Mathematics --- Condensed matter. --- Applied mathematics. --- Engineering mathematics. --- Physics. --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Engineering --- Engineering analysis --- Mathematical analysis --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematics --- Mathematical physics --- Statistical physics --- toegepaste wiskunde --- statistiek --- wiskunde --- fysica

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Many-body problem --- Civil & Environmental Engineering --- Physics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Atomic Physics --- Applied Physics --- Operations Research --- Many-body problem. --- Mathematics. --- n-body problem --- Problem of many bodies --- Problem of n-bodies --- Math --- Mathematical physics. --- Phase transformations (Statistical physics). --- Condensed materials. --- Condensed matter. --- Superconductivity. --- Superconductors. --- Mathematical Physics. --- Quantum Gases and Condensates. --- Strongly Correlated Systems, Superconductivity. --- Science --- Mechanics, Analytic --- Superconducting materials --- Superconductive devices --- Cryoelectronics --- Electronics --- Solid state electronics --- Electric conductivity --- Critical currents --- Superfluidity --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Statistical physics --- Physical mathematics --- Materials --- Mathematics --- Vielteilchentheorie. --- Cetraro <2010> --- Quantum statistics. --- Quantum statistical mechanics --- Matrix mechanics --- Statistical mechanics --- Wave mechanics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.

Mathematics --- Mathematical physics --- Statistical physics --- toegepaste wiskunde --- statistiek --- wiskunde --- fysica