[{"publication_identifier":{"issn":["0010-3616"]},"publication_status":"published","language":[{"iso":"eng"}],"volume":170,"issue":"3","abstract":[{"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.","lang":"eng"}],"oa_version":"None","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF02099152"}],"month":"06","intvolume":" 170","date_updated":"2022-06-28T09:19:36Z","extern":"1","_id":"2724","type":"journal_article","article_type":"original","status":"public","year":"1995","day":"01","publication":"Communications in Mathematical Physics","page":"629 - 668","date_published":"1995-06-01T00:00:00Z","doi":"10.1007/BF02099152","date_created":"2018-12-11T11:59:16Z","quality_controlled":"1","publisher":"Springer","citation":{"ista":"Erdös L. 1995. Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics. 170(3), 629–668.","chicago":"Erdös, László. “Magnetic Lieb-Thirring Inequalities.” Communications in Mathematical Physics. Springer, 1995. https://doi.org/10.1007/BF02099152.","apa":"Erdös, L. (1995). Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/BF02099152","ama":"Erdös L. Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics. 1995;170(3):629-668. doi:10.1007/BF02099152","ieee":"L. Erdös, “Magnetic Lieb-Thirring inequalities,” Communications in Mathematical Physics, vol. 170, no. 3. Springer, pp. 629–668, 1995.","short":"L. Erdös, Communications in Mathematical Physics 170 (1995) 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."},"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publist_id":"4168","author":[{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","orcid":"0000-0001-5366-9603","full_name":"Erdös, László"}],"article_processing_charge":"No","title":"Magnetic Lieb-Thirring inequalities"}]