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Existence of a solution to Hartree-Fock equations with decreasing magnetic fields
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: Nonlinear Analysis, ISSN 0362-546X, E-ISSN 1873-5215, Vol. 69, no 7, 2125-2141 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2008. Vol. 69, no 7, 2125-2141 p.
Keyword [en]
magnetic Hartree-Fock equations, ground state, variational method, spectral bound
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-109139DOI: 10.1016/j.na.2007.07.050ISI: 000258359300019OAI: oai:DiVA.org:uu-109139DiVA: diva2:248951
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2017-12-13

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Melgaard, M.

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