Abstract
ABSTRACTWithin the Hartree–Fock theory of atoms and molecules, we prove existence of a ground state in the presence of an external magnetic field when: (1) the diamagnetic effect is taken into account; (2) both the diamagnetic effect and the Zeeman effect are taken into account. For both cases, the ground state exists provided the total charge of the nuclei K exceeds , where N is the number of electrons. For the first case, the Schrödinger case, we complement prior results by allowing a wide class of magnetic potentials. In the second case, the Pauli case, we include the magnetic field energy in order to obtain a stable problem and we assume , where is the fine structure constant.
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