The Mathematics of the Bose Gas and its Condensation

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.

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

Cited by in corpus (5)

• Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
• On the Mathematical Theory of Superfluidity
• Solvable model for pair excitation in trapped Boson gas at zero temperature
• Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime
• Lower bounds on the energy of the Bose gas