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The Mathematics of the Bose Gas and its Condensation

Elliott H. Lieb·Robert Seiringer·Jan Philip Solovej·Jakob Yngvason
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Abstract

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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Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason. 2006-10-04. The Mathematics of the Bose Gas and its Condensation. https://arxiv.org/abs/cond-mat/0610117

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