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.