%0 Journal Article %1 MR2336366 %A Kovar\'ık, Hynek %A Vugalter, Semjon %A Weidl, Timo %D 2007 %J Comm. Math. Phys. %K %N 3 %P 827--838 %R 10.1007/s00220-007-0318-z %T Spectral estimates for two-dimensional Schrödinger operators with application to quantum layers %U https://doi.org/10.1007/s00220-007-0318-z %V 275 %X Alogarithmic type Lieb-Thirring inequality for two-dimensional Schrödinger operators is established. The result is applied to prove spectral estimates on trapped modes in quantum layers.

@article{MR2336366, abstract = {Alogarithmic type Lieb-Thirring inequality for two-dimensional Schrödinger operators is established. The result is applied to prove spectral estimates on trapped modes in quantum layers.}, added-at = {2023-04-21T12:30:10.000+0200}, author = {Kova\v{r}\'{\i}k, Hynek and Vugalter, Semjon and Weidl, Timo}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/28e309fc1ea55fba4facb5ec5ad000989/elkepeter}, doi = {10.1007/s00220-007-0318-z}, interhash = {9ff7cfcf0d541aa55cbdc0ce24d3d4c2}, intrahash = {8e309fc1ea55fba4facb5ec5ad000989}, issn = {0010-3616}, journal = {Comm. Math. Phys.}, keywords = {}, mrclass = {81Q10 (35J10 35P15 47F05)}, mrnumber = {2336366}, mrreviewer = {Pavel V. Exner}, number = 3, pages = {827--838}, timestamp = {2023-04-21T12:30:19.000+0200}, title = {Spectral estimates for two-dimensional {S}chr\"{o}dinger operators with application to quantum layers}, url = {https://doi.org/10.1007/s00220-007-0318-z}, volume = 275, year = 2007 }