The mathematics of the Bose gas and its condensation. (English) Zbl 1104.82012
Oberwolfach Seminars 34. Basel: Birkhäuser (ISBN 3-7643-7336-9/pbk). viii, 203 p. (2005).
Publisher’s description: 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 is a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but it is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. It is an active subject of ongoing research, and this book provides a pedagogical entry into the field for 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.
MSC:
82B10 | Quantum equilibrium statistical mechanics (general) |
82-02 | Research exposition (monographs, survey articles) pertaining to statistical mechanics |
81V70 | Many-body theory; quantum Hall effect |
81-02 | Research exposition (monographs, survey articles) pertaining to quantum theory |