BibTeX
@MISC{Erdős94magneticlieb-thirring,
author = {László Erdős},
title = {Magnetic Lieb-Thirring inequalities},
year = {1994}
}
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Abstract
We study the generalizations of the well-known Lieb-Thirring inequality for the magnetic Schrodinger 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
Keyphrases
mag-netic schrodinger operator well-known lieb-thirring inequality unbounded one path space main result magnetic eld nonconstant magnetic eld stochastic feynman-kac representation oscillatory eect certain class magnetic lieb-thirring estimate negative eigenvalue magnetic phase heat kernel localization technique
