2002/09/17 by Elliott H. Lieb, Élliott H. Lieb, Lieb, Elliott H.
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0209034
For publication in the proceedings of the Werner Heisenberg Centennial, Munich, December, 2001, Springer Verlag. 20 pages, Latex
arxiv created 2002/09/17 · openalex publication_date 2002/09/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A survey of the stability of matter problem is given, starting with the stability of the hydrogen atom. The stablity of bulk matter with Coulomb potentials, with or without relativistic mechanics, and with or without magnetic fields is discussed. The final section discusses the stability of matter in a relativistic model with the Dirac operator as kinetic energy (but restricted to the positive subspace) and with the quantized electromagnetic field in the Coulomb gauge.