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Currently displaying 1 – 4 of 4

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Proof of the ionization conjecture in a reduced Hartree-Fock model.

Jan Philip Solovej — 1991

Inventiones mathematicae

Large atoms in large magnetic fields

Jan Philip Solovej — 1991

Journées équations aux dérivées partielles

Stability and semiclassics in self-generated fields

László Erdős; Soren Fournais; Jan Philip Solovej — 2013

Journal of the European Mathematical Society

We consider non-interacting particles subject to a fixed external potential $V$ and a self-generated magnetic field $B$ . The total energy includes the field energy $β \int B^{2}$ 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 $β$ 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...

Excess charge for pseudo-relativistic atoms in Hartree-Fock theory.

Dall'acqua, Anna; Solovej, Jan Philip — 2010

Documenta Mathematica

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