The Mathematics of the Bose Gas and its Condensation

Details The Mathematics of the Bose Gas and its Condensation The Mathematics of the Bose Gas and its Condensation

2006-10-04

arxiv.org/abs/cond-mat/0610117v1

Physics

Condensed Matter

Statistical Mechanics

213 pages. Slightly revised and extended version of Oberwolfach Seminar Series, Vol. 34, Birkhaeuser (2005)

Scientific paper

This book surveys results about the quantum mechanical many-body problem of the Bose gas that have been obtained by the authors over the last seven years. These topics are relevant to current experiments on ultra-cold gases; they are also mathematically rigorous, using many analytic techniques developed over the years to handle such problems. Some of the topics treated are the ground state energy, the Gross-Pitaevskii equation, Bose-Einstein condensation, superfluidity, one-dimensional gases, and rotating gases. The book also provides a pedagogical entry into the field for graduate students and researchers.

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