Existence of a solution to Hartree-Fock equations with decreasing magnetic field

Mattias Enstedt; Michael Melgaard

doi:10.21427/9v90-zk29

Existence of a solution to Hartree-Fock equations with decreasing magnetic field

Mattias Enstedt, Michael Melgaard

Technological University Dublin

Research output: Contribution to journal › Article › peer-review

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 of nuclei exceeds , where is the number of electrons. In the opposite direction, no ground state exists if .

Original language	English
Pages (from-to)	2125-2141
Journal	Nonlinear Analysis: Theory, Methods and Applications
Volume	69
DOIs	https://doi.org/10.21427/9v90-zk29
Publication status	Published - 1 Jan 2008

Keywords

external magnetic field
ground state
Hartree-Fock theory
atoms
molecules
total charge
nuclei
electrons

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10.21427/9v90-zk29Licence: CC BY-NC-SA

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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 of nuclei exceeds , where is the number of electrons. In the opposite direction, no ground state exists if .",

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AB - 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 of nuclei exceeds , where is the number of electrons. In the opposite direction, no ground state exists if .

KW - external magnetic field

KW - ground state

KW - Hartree-Fock theory

KW - atoms

KW - molecules

KW - total charge

KW - nuclei

KW - electrons

U2 - 10.21427/9v90-zk29

DO - 10.21427/9v90-zk29

M3 - Article

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SP - 2125

EP - 2141

JO - Nonlinear Analysis: Theory, Methods and Applications

JF - Nonlinear Analysis: Theory, Methods and Applications

ER -

Existence of a solution to Hartree-Fock equations with decreasing magnetic field

Abstract

Keywords

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