The Mathematics of the Bose Gas and its Condensation
(Sprache: Englisch)
This book contains a unique survey of the mathematicallyrigorous results about the quantum-mechanical many-body problemthat have been obtained by the authors in the past seven years. Itaddresses a topic that is not only rich mathematically, using alarge...
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Klappentext zu „The Mathematics of the Bose Gas and its Condensation “
This book contains a unique survey of the mathematicallyrigorous results about the quantum-mechanical many-body problemthat have been obtained by the authors in the past seven years. Itaddresses a topic that is not only rich mathematically, using alarge variety of techniques in mathematical analysis, but is alsoone with strong ties to current experiments on ultra-cold Bosegases and Bose-Einstein condensation. The book provides apedagogical entry into an active area of ongoing research for bothgraduate students and researchers. It is an outgrowth of a coursegiven by the authors for graduate students and post-doctoralresearchers at the Oberwolfach Research Institute in 2004. The bookalso provides a coherent summary of the field and a reference formathematicians and physicists active in research on quantummechanics.
Inhaltsverzeichnis zu „The Mathematics of the Bose Gas and its Condensation “
- 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
Bibliographische Angaben
- Autoren: Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej
- 2005, 208 Seiten, Maße: 17 x 24,4 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3764373369
- ISBN-13: 9783764373368
Sprache:
Englisch
Rezension zu „The Mathematics of the Bose Gas and its Condensation “
"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."
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