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The Mathematics of the Bose Gas and its Condensation

  • Elliott H. Lieb
  • Jan Philip Solovej
  • Robert Seiringer
  • Jakob Yngvason

Part of the Oberwolfach Seminars book series (OWS, volume 34)

About this book

Introduction

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.

Keywords

Bose Gas Bose-Einstein Condensation Helium-Atom-Streuung Mathematical Physics PAS PED Phase Transition

Authors and affiliations

  • Elliott H. Lieb
    • 1
  • Jan Philip Solovej
    • 2
  • Robert Seiringer
    • 3
  • Jakob Yngvason
    • 4
  1. 1.Departments of Mathematics and PhysicsPrinceton University, Jadwin HallPrincetonUSA
  2. 2.Department of MathematicsUniversity of CopenhagenCopenhagenDenmark
  3. 3.Department of PhysicsPrinceton University, Jadwin HallPrincetonUSA
  4. 4.Institut für Theoretische PhysikUniversität WienWienAustria

Bibliographic information

  • DOI https://doi.org/10.1007/b137508
  • Copyright Information Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason 2005
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-7336-8
  • Online ISBN 978-3-7643-7337-5
  • Buy this book on publisher's site