---
_id: '2724'
abstract:
- lang: eng
text: We study the generalizations of the well-known Lieb-Thirring inequality for
the magnetic Schrödinger operator with nonconstant magnetic field. Our main result
is the naturally expected magnetic Lieb-Thirring estimate on the moments of the
negative eigenvalues for a certain class of magnetic fields (including even some
unbounded ones). We develop a localization technique in path space of the stochastic
Feynman-Kac representation of the heat kernel which effectively estimates the
oscillatory effect due to the magnetic phase factor.
article_processing_charge: No
article_type: original
author:
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: Erdös L. Magnetic Lieb-Thirring inequalities. Communications in Mathematical
Physics. 1995;170(3):629-668. doi:10.1007/BF02099152
apa: Erdös, L. (1995). Magnetic Lieb-Thirring inequalities. Communications in
Mathematical Physics. Springer. https://doi.org/10.1007/BF02099152
chicago: Erdös, László. “Magnetic Lieb-Thirring Inequalities.” Communications
in Mathematical Physics. Springer, 1995. https://doi.org/10.1007/BF02099152.
ieee: L. Erdös, “Magnetic Lieb-Thirring inequalities,” Communications in Mathematical
Physics, vol. 170, no. 3. Springer, pp. 629–668, 1995.
ista: Erdös L. 1995. Magnetic Lieb-Thirring inequalities. Communications in Mathematical
Physics. 170(3), 629–668.
mla: Erdös, László. “Magnetic Lieb-Thirring Inequalities.” Communications in
Mathematical Physics, vol. 170, no. 3, Springer, 1995, pp. 629–68, doi:10.1007/BF02099152.
short: L. Erdös, Communications in Mathematical Physics 170 (1995) 629–668.
date_created: 2018-12-11T11:59:16Z
date_published: 1995-06-01T00:00:00Z
date_updated: 2022-06-28T09:19:36Z
day: '01'
doi: 10.1007/BF02099152
extern: '1'
intvolume: ' 170'
issue: '3'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/BF02099152
month: '06'
oa_version: None
page: 629 - 668
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- 0010-3616
publication_status: published
publisher: Springer
publist_id: '4168'
quality_controlled: '1'
status: public
title: Magnetic Lieb-Thirring inequalities
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 170
year: '1995'
...