The mathematics of the bose gas and its condensation
著者
書誌事項
The mathematics of the bose gas and its condensation
（Oberwolfach seminars, 34）
Birkhäuser, c2005
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注記
Includes bibliographical references(p. [187]-199) and index
内容説明・目次
内容説明
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.
目次
The Dilute Bose Gas in 3D.- The Dilute Bose Gas in 2D.- Generalized Poincare Inequalities.- Bose-Einstein Condensation and Superfluidity for Homogeneous Gases.- Gross-Pitaevskii Equation for Trapped Bosons.- Bose-Einstein Condensation and Superfluidity for Dilute Trapped Gases.- One-Dimensional Behavior of Dilute Bose Gases in Traps.- Two-Dimensional Behavior in Disc-Shaped Traps.- The Charged Bose Gas, the One- and Two-Component Cases.- Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.
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