--- _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' ...