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
Call Number:Libro Electrónico
Main Authors: Lieb, Elliott H. (Author), Seiringer, Robert (Author), Solovej, Jan Philip (Author), Yngvason, Jakob (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2005.
Edition:1st ed. 2005.
Series:Oberwolfach Seminars, 34
Subjects:
Condensed matter.
Mathematics.
Mathematical physics.
System theory.
Condensed Matter Physics.
Applications of Mathematics.
Mathematical Methods in Physics.
Complex Systems.
Theoretical, Mathematical and Computational Physics.
Online Access:Texto Completo
Table of Contents:
  • 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.

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