---
_id: '2723'
abstract:
- lang: eng
text: 'The ground-state density of the Pauli operator in the case of a nonconstant
magnetic field with constant direction is studied. It is shown that in the large
field limit, the naturally rescaled ground-state density function is bounded from
above by the megnetic field, and under some additional conditions, the limit density
function is equal to the magnetic field. A restatement of this result yields an
estimate on the density of complex orthogonal polynomials with respect to a fairly
general weight function. We also prove a special case of the paramagnetic inequality. '
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: Erdös L. Ground-state density of the Pauli operator in the large field limit.
*Letters in Mathematical Physics*. 1993;29(3):219-240. doi:10.1007/BF00761110
apa: Erdös, L. (1993). Ground-state density of the Pauli operator in the large field
limit. *Letters in Mathematical Physics*, *29*(3), 219–240. https://doi.org/10.1007/BF00761110
chicago: 'Erdös, László. “Ground-State Density of the Pauli Operator in the Large
Field Limit.” *Letters in Mathematical Physics* 29, no. 3 (1993): 219–40.
https://doi.org/10.1007/BF00761110.'
ieee: L. Erdös, “Ground-state density of the Pauli operator in the large field limit,”
*Letters in Mathematical Physics*, vol. 29, no. 3, pp. 219–240, 1993.
ista: Erdös L. 1993. Ground-state density of the Pauli operator in the large field
limit. Letters in Mathematical Physics. 29(3), 219–240.
mla: Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field
Limit.” *Letters in Mathematical Physics*, vol. 29, no. 3, Springer, 1993,
pp. 219–40, doi:10.1007/BF00761110.
short: L. Erdös, Letters in Mathematical Physics 29 (1993) 219–240.
date_created: 2018-12-11T11:59:16Z
date_published: 1993-11-01T00:00:00Z
date_updated: 2019-04-26T07:22:19Z
day: '01'
doi: 10.1007/BF00761110
extern: 1
intvolume: ' 29'
issue: '3'
month: '11'
page: 219 - 240
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4169'
quality_controlled: 0
status: public
title: Ground-state density of the Pauli operator in the large field limit
type: journal_article
volume: 29
year: '1993'
...