Ground State Energy of Large Atoms in a Self-Generated Magnetic Field

  • László ErdősEmail author
  • Jan Philip Solovej


We consider a large atom with nuclear charge Z described by non-relativistic quantum mechanics with classical or quantized electromagnetic field. We prove that the absolute ground state energy, allowing for minimizing over all possible self-generated electromagnetic fields, is given by the non-magnetic Thomas-Fermi theory to leading order in the simultaneous Z → ∞, α → 0 limit if Z α 2κ for some universal κ, where α is the fine structure constant.


Ground State Energy Pauli Operator Coulomb System Large Atom Smooth Cutoff Function 
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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of MunichMunichGermany
  2. 2.Department of MathematicsUniversity of CopenhagenCopenhagenDenmark

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