Oberwolfach Seminars

The Mathematics of the Bose Gas and its Condensation

Authors: Lieb, E.H., Seiringer, R., Solovej, J.P., Yngvason, J.

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About this Textbook

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.

Reviews

"The presentation provides significant insight into a large part of the current issues of interest in the physics of Bose systems and especially into the "kitchen" of several relevant mathematical techniques. As such, it is highly recommended to both advanced researchers and students preparing to work in this field."

(Mathematical Reviews)


Table of contents (11 chapters)

Table of contents (11 chapters)
  • Introduction

    Pages 1-8

  • The Dilute Bose Gas in 3D

    Pages 9-25

  • The Dilute Bose Gas in 2D

    Pages 27-32

  • Generalized Poincaré Inequalities

    Pages 33-37

  • Bose-Einstein Condensation and Superfluidity for Homogeneous Gases

    Pages 39-46

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-7643-7337-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover $59.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematics of the Bose Gas and its Condensation
Authors
Series Title
Oberwolfach Seminars
Series Volume
34
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7337-5
DOI
10.1007/b137508
Softcover ISBN
978-3-7643-7336-8
Series ISSN
1661-237X
Edition Number
1
Number of Pages
VIII, 208
Topics