Detailansicht
The Mathematics of the Bose Gas and its Condensation
Oberwolfach Seminars 34
Lieb, Elliott H/Seiringer, Robert/Solovej, Jan Philip et al
ISBN/EAN: 9783764373368
Umbreit-Nr.: 1380004
Sprache:
Englisch
Umfang: viii, 208 S.
Format in cm: 1.5 x 24.1 x 17
Einband:
kartoniertes Buch
Erschienen am 16.06.2005
Auflage: 1/2005
- Kurztext
- 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.
- Autorenportrait
- InhaltsangabeThe 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.