Enstedt, M and Melgaard, M (2008) Existence of a solution to Hartree-Fock equations with decreasing magnetic field. Nonlinear Analysis: Theory, Methods and Applications, 69 (7). pp. 2125-2141. ISSN 0362-546X

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Abstract

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.

Item Type:	Article
Keywords:	Magnetic Hartree–Fock equations; Ground state; Variational method; Spectral bound
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 10:07
Last Modified:	13 Jul 2017 08:11
URI:	http://srodev.sussex.ac.uk/id/eprint/46374

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