Non-existence of a minimizer to the magnetic Hartree-Fock functional

Enstedt, Mattias and Melgaard, Michael (2008) Non-existence of a minimizer to the magnetic Hartree-Fock functional. Positivity, 12 (4). pp. 653-666. ISSN 1385-1292

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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.

Item Type: Article
Keywords: Magnetic Hartree-Fock equations; Ionization; Positivity
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User: Michael Melgaard
Date Deposited: 19 Sep 2013 10:05
Last Modified: 19 Sep 2013 10:05
URI: http://sro.sussex.ac.uk/id/eprint/46371
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