The Quantum-mechanical Many Body Problem: The Bose Gas
  This article gives a detailed presentation of the authors' recent results on the ground state properties of the Bose gas. It is a much expanded version of a talk given by one of the authors (E.H.L.) at the conference "Perspectives in Analysis" at the KTH, Stockholm, June 23, 2003. It is based on, but supersedes, the article math-ph/0204027. 
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason