{"publisher":"Springer","page":"629 - 668","type":"journal_article","title":"Magnetic Lieb-Thirring inequalities","quality_controlled":0,"date_updated":"2021-01-12T06:59:17Z","publication_status":"published","doi":"10.1007/BF02099152","date_published":"1995-06-01T00:00:00Z","status":"public","_id":"2724","volume":170,"intvolume":" 170","extern":1,"year":"1995","day":"01","publication":"Communications in Mathematical Physics","month":"06","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"}],"issue":"3","publist_id":"4168","author":[{"orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös","full_name":"László Erdös"}],"citation":{"mla":"Erdös, László. “Magnetic Lieb-Thirring Inequalities.” *Communications in Mathematical Physics*, vol. 170, no. 3, Springer, 1995, pp. 629–68, doi:10.1007/BF02099152.","ista":"Erdös L. 1995. Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics. 170(3), 629–668.","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.","short":"L. Erdös, Communications in Mathematical Physics 170 (1995) 629–668."},"date_created":"2018-12-11T11:59:16Z"}