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.

The Mathematics of the Bose Gas and its Condensation (Oberwolfach Seminars) PDF

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