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Existence of a solution to Hartree-Fock equations with decreasing magnetic field
journal contributionposted on 2023-06-08, 15:51 authored by M Enstedt, Michael MelgaardMichael Melgaard
In the presence of an external magnetic field, we prove existence of a ground state within the Hartree–Fock theory of atoms and molecules. The ground state exists provided the magnetic field decreases at infinity and the total charge Z of K nuclei exceeds N-1, where N is the number of electrons. In the opposite direction, no ground state exists if N>2Z+K.
JournalNonlinear Analysis: Theory, Methods and Applications
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