---
_id: '2756'
abstract:
- lang: eng
text: We consider a large atom with nuclear charge Z described by non-relativistic
quantum mechanics with classical or quantized electromagnetic field. We prove
that the absolute ground state energy, allowing for minimizing over all possible
self-generated electromagnetic fields, is given by the non-magnetic Thomas-Fermi
theory to leading order in the simultaneous Z → ∞, α → 0 limit if Zα2 ≤ κ for
some universal κ, where α is the fine structure constant.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Erdös L, Solovej J. Ground state energy of large atoms in a self-generated
magnetic field. *Communications in Mathematical Physics*. 2010;294(1):229-249.
doi:10.1007/s00220-009-0869-2
apa: Erdös, L., & Solovej, J. (2010). Ground state energy of large atoms in
a self-generated magnetic field. *Communications in Mathematical Physics*.
Springer. https://doi.org/10.1007/s00220-009-0869-2
chicago: Erdös, László, and Jan Solovej. “Ground State Energy of Large Atoms in
a Self-Generated Magnetic Field.” *Communications in Mathematical Physics*.
Springer, 2010. https://doi.org/10.1007/s00220-009-0869-2.
ieee: L. Erdös and J. Solovej, “Ground state energy of large atoms in a self-generated
magnetic field,” *Communications in Mathematical Physics*, vol. 294, no.
1. Springer, pp. 229–249, 2010.
ista: Erdös L, Solovej J. 2010. Ground state energy of large atoms in a self-generated
magnetic field. Communications in Mathematical Physics. 294(1), 229–249.
mla: Erdös, László, and Jan Solovej. “Ground State Energy of Large Atoms in a Self-Generated
Magnetic Field.” *Communications in Mathematical Physics*, vol. 294, no.
1, Springer, 2010, pp. 229–49, doi:10.1007/s00220-009-0869-2.
short: L. Erdös, J. Solovej, Communications in Mathematical Physics 294 (2010) 229–249.
date_created: 2018-12-11T11:59:26Z
date_published: 2010-02-01T00:00:00Z
date_updated: 2021-01-12T06:59:29Z
day: '01'
doi: 10.1007/s00220-009-0869-2
extern: 1
intvolume: ' 294'
issue: '1'
month: '02'
page: 229 - 249
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4136'
quality_controlled: 0
status: public
title: Ground state energy of large atoms in a self-generated magnetic field
type: journal_article
volume: 294
year: '2010'
...