The mathematics of the Bose gas and its condensation

Description:

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.

subjects: Mathematics,  Bose-Einstein condensation,  Bose-Einstein gas,  States of matter,  Mathematical Physics,  Applied,  Science,  Science/Mathematics,  Physics,  Bose Gas,  Mathematics / Applied,  Phase Transition,  Physics, mathematical models,  Bose-Einstein-condensatie,  Física do estado líquido,  Bose-Einstein-Kondensation,  Mathematical physics,  Statistical physics