The Mathematics of the Bose Gas and its Condensation

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 anal...

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Bibliographic Details
Main Authors: Lieb, Elliott H. (Author), Solovej, Jan Philip (Author), Seiringer, Robert (Author), Yngvason, Jakob (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Basel : Birkhäuser Basel, 2005.
Series:Oberwolfach Seminars ; 34
Subjects:
Online Access:Full Text via HEAL-Link
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100 1 |a Lieb, Elliott H.  |e author. 
245 1 4 |a The Mathematics of the Bose Gas and its Condensation  |h [electronic resource] /  |c by Elliott H. Lieb, Jan Philip Solovej, Robert Seiringer, Jakob Yngvason. 
264 1 |a Basel :  |b Birkhäuser Basel,  |c 2005. 
300 |a VIII, 208 p.  |b online resource. 
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490 1 |a Oberwolfach Seminars ;  |v 34 
505 0 |a The Dilute Bose Gas in 3D -- The Dilute Bose Gas in 2D -- Generalized Poincaré Inequalities -- Bose-Einstein Condensation and Superfluidity for Homogeneous Gases -- Gross-Pitaevskii Equation for Trapped Bosons -- Bose-Einstein Condensation and Superfluidity for Dilute Trapped Gases -- One-Dimensional Behavior of Dilute Bose Gases in Traps -- Two-Dimensional Behavior in Disc-Shaped Traps -- The Charged Bose Gas, the One- and Two-Component Cases -- Bose-Einstein Quantum Phase Transition in an Optical Lattice Model. 
520 |a 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. 
650 0 |a Physics. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Condensed matter. 
650 0 |a Statistical physics. 
650 0 |a Dynamical systems. 
650 1 4 |a Physics. 
650 2 4 |a Condensed Matter Physics. 
650 2 4 |a Applications of Mathematics. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Statistical Physics, Dynamical Systems and Complexity. 
700 1 |a Solovej, Jan Philip.  |e author. 
700 1 |a Seiringer, Robert.  |e author. 
700 1 |a Yngvason, Jakob.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783764373368 
830 0 |a Oberwolfach Seminars ;  |v 34 
856 4 0 |u http://dx.doi.org/10.1007/b137508  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)