{"quality_controlled":"1","day":"01","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."}],"status":"public","intvolume":"       170","date_updated":"2022-06-28T09:19:36Z","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF02099152"}],"extern":"1","volume":170,"article_type":"original","article_processing_charge":"No","date_published":"1995-06-01T00:00:00Z","year":"1995","date_created":"2018-12-11T11:59:16Z","publication":"Communications in Mathematical Physics","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","page":"629 - 668","author":[{"first_name":"László","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"}],"publist_id":"4168","language":[{"iso":"eng"}],"publication_status":"published","publisher":"Springer","type":"journal_article","citation":{"ieee":"L. Erdös, “Magnetic Lieb-Thirring inequalities,” <i>Communications in Mathematical Physics</i>, vol. 170, no. 3. Springer, pp. 629–668, 1995.","chicago":"Erdös, László. “Magnetic Lieb-Thirring Inequalities.” <i>Communications in Mathematical Physics</i>. Springer, 1995. <a href=\"https://doi.org/10.1007/BF02099152\">https://doi.org/10.1007/BF02099152</a>.","mla":"Erdös, László. “Magnetic Lieb-Thirring Inequalities.” <i>Communications in Mathematical Physics</i>, vol. 170, no. 3, Springer, 1995, pp. 629–68, doi:<a href=\"https://doi.org/10.1007/BF02099152\">10.1007/BF02099152</a>.","ista":"Erdös L. 1995. Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics. 170(3), 629–668.","ama":"Erdös L. Magnetic Lieb-Thirring inequalities. <i>Communications in Mathematical Physics</i>. 1995;170(3):629-668. doi:<a href=\"https://doi.org/10.1007/BF02099152\">10.1007/BF02099152</a>","apa":"Erdös, L. (1995). Magnetic Lieb-Thirring inequalities. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/BF02099152\">https://doi.org/10.1007/BF02099152</a>","short":"L. Erdös, Communications in Mathematical Physics 170 (1995) 629–668."},"oa_version":"None","month":"06","title":"Magnetic Lieb-Thirring inequalities","issue":"3","_id":"2724","publication_identifier":{"issn":["0010-3616"]},"doi":"10.1007/BF02099152"}