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Non-existence of a minimizer to the magnetic Hartree-Fock functional
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2008 (English)In: Positivity (Dordrecht), ISSN 1385-1292, E-ISSN 1572-9281, Vol. 12, no 4, 653-666 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2008. Vol. 12, no 4, 653-666 p.
Keyword [en]
Magnetic Hartree-Fock equations, Ionization, Positivity
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-107119DOI: 10.1007/s11117-008-2127-9ISI: 000260220600006OAI: oai:DiVA.org:uu-107119DiVA: diva2:227715
Available from: 2009-07-16 Created: 2009-07-16 Last updated: 2012-12-14Bibliographically approved

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Melgaard, Michael

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