# Estimates for the number of eigenvalues of two dimensional Schrödinger operators lying below the essential spectrum

@article{Karuhanga2016EstimatesFT, title={Estimates for the number of eigenvalues of two dimensional Schr{\"o}dinger operators lying below the essential spectrum}, author={Martin Karuhanga}, journal={arXiv: Spectral Theory}, year={2016} }

The celebrated Cwikel-Lieb_Rozenblum inequality gives an upper estimate for the number of negative eigenvalues of Schroedinger operators in dimension three and higher. The situation is much more difficult in the two dimensional case. There has been significant progress in obtaining upper estimates for the number of negative eigenvalues of two dimensional Schroedinger operators on the whole plane. In this thesis, we present estimates of the Cwikel-Lieb_Rozenblum type for the number of…

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