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 | |
| 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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