@article{2724,
abstract = {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.},
author = {László Erdös},
journal = {Communications in Mathematical Physics},
number = {3},
pages = {629 -- 668},
publisher = {Springer},
title = {{Magnetic Lieb-Thirring inequalities}},
doi = {10.1007/BF02099152},
volume = {170},
year = {1995},
}