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Non-existence of a minimizer to the magnetic Hartree-Fock functional
journal contributionposted on 2023-06-08, 15:50 authored by Mattias Enstedt, Michael MelgaardMichael Melgaard
In the presence of an external magnetic field, we prove absence of a ground state within the Hartree-Fock theory of atoms and molecules. The result is established for a wide class of magnetic fields when the number of electrons is greater than or equal to 2Z + K, where Z is the total charge of K nuclei. Positivity properties are instrumental in the proof of this bound for the maximal ionization.
PublisherBirkhäuser Verlag Basel
Department affiliated with
- Mathematics Publications
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