Excess charge for pseudo-relativistic atoms in Hartree-Fock theory.
Proof of the ionization conjecture in a reduced Hartree-Fock model.
Large atoms in large magnetic fields
Stability and semiclassics in self-generated fields
We consider non-interacting particles subject to a fixed external potential and a self-generated magnetic field . The total energy includes the field energy and we minimize over all particle states and magnetic fields. In the case of spin-1/2 particles this minimization leads to the coupled Maxwell-Pauli system. The parameter tunes the coupling strength between the field and the particles and it effectively determines the strength of the field. We investigate the stability and the semiclassical...
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