Abstract
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.
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Enstedt, M., Melgaard, M. Non-existence of a minimizer to the magnetic Hartree-Fock functional. Positivity 12, 653–666 (2008). https://doi.org/10.1007/s11117-008-2127-9
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DOI: https://doi.org/10.1007/s11117-008-2127-9