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Non-existence of a minimizer to the magnetic Hartree-Fock functional
journal contribution
posted on 2023-06-08, 15:50 authored by Mattias Enstedt, Michael MelgaardMichael MelgaardIn 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.
History
Publication status
- Published
Journal
PositivityISSN
1385-1292Publisher
Birkhäuser Verlag BaselExternal DOI
Issue
4Volume
12Page range
653-666Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes