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

  • László ErdősEmail author
  • Jan Philip Solovej
Article

Abstract

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.

Keywords

Ground State Energy Pauli Operator Coulomb System Large Atom Smooth Cutoff Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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