2000/10/03 by Robert Seiringer, Seiringer, Robert
Mathematics · Physics and Astronomy · #46N50 #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 81V70 #Quantum, superfluid, helium dynamics #Secondary 35Q55 #math-ph #math.MP #msc:35Q55 #msc:46N50 #msc:81V70
paper · pdf · doi:10.48550/arxiv.math-ph/0010006
For the proceedings of the International Conference on Partial Differential Equations, Clausthal, July 24-28, 2000
arxiv created 2000/10/03 · openalex publication_date 2000/10/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recent experimental breakthroughs in the treatment of dilute Bose gases have renewed interest in their quantum mechanical description, respectively in approximations to it. The ground state properties of dilute Bose gases confined in external potentials and interacting via repulsive short range forces are usually described by means of the Gross-Pitaevskii energy functional. In joint work with Elliott H. Lieb and Jakob Yngvason its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clarified. We present a summary of this work, for both the two- and three-dimensional case.