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...
Main Authors: | , , , |
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Format: | eBook |
Language: | English |
Published: |
Basel
Birkhäuser
2005, 2005
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Edition: | 1st ed. 2005 |
Series: | Oberwolfach Seminars
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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