Magnetic Lieb-Thirring inequalities

L. Erdös, Communications in Mathematical Physics 170 (1995) 629–668.

Download
No fulltext has been uploaded. References only!

Journal Article | Published
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.
Publishing Year
Date Published
1995-06-01
Journal Title
Communications in Mathematical Physics
Volume
170
Issue
3
Page
629 - 668
IST-REx-ID

Cite this

Erdös L. Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics. 1995;170(3):629-668. doi:10.1007/BF02099152
Erdös, L. (1995). Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics, 170(3), 629–668. https://doi.org/10.1007/BF02099152
Erdös, László. “Magnetic Lieb-Thirring Inequalities.” Communications in Mathematical Physics 170, no. 3 (1995): 629–68. https://doi.org/10.1007/BF02099152.
L. Erdös, “Magnetic Lieb-Thirring inequalities,” Communications in Mathematical Physics, vol. 170, no. 3, pp. 629–668, 1995.
Erdös L. 1995. Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics. 170(3), 629–668.
Erdös, László. “Magnetic Lieb-Thirring Inequalities.” Communications in Mathematical Physics, vol. 170, no. 3, Springer, 1995, pp. 629–68, doi:10.1007/BF02099152.

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar