Spectral estimates for two-dimensional Schroedinger operators with application to quantum layers
Mathematical Physics
2010-09-24 v1 math.MP
Spectral Theory
Abstract
A logarithmic type Lieb-Thirring inequality for two-dimensional Schroedinger operators is established. The result is applied to prove spectral estimates on trapped modes in quantum layers.
Cite
@article{arxiv.math-ph/0612070,
title = {Spectral estimates for two-dimensional Schroedinger operators with application to quantum layers},
author = {Hynek Kovarik and Semjon Vugalter and Timo Weidl},
journal= {arXiv preprint arXiv:math-ph/0612070},
year = {2010}
}