Open AccessStability of Coulomb systems in a magnetic field.
Author(s) -
Charles Fefferman
Publication year - 1995
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.92.11.5006
Subject(s) - magnetic field , constant (computer programming) , physics , electron , coulomb , energy (signal processing) , stability (learning theory) , magnetic energy , field (mathematics) , bounded function , condensed matter physics , atomic physics , magnetization , quantum mechanics , mathematics , mathematical analysis , machine learning , computer science , pure mathematics , programming language
I study N electrons and M protons in a magnetic field. It is shown that the total energy per particle is bounded below by a constant independent of M and N, provided the fine structure constant is small. Here, the total energy includes the energy of the magnetic field.