Speaker
Medet Nursultanov, University of Helsinki
Abstract
We investigate the spectral properties of a one-dimensional Schrödinger operator whose potential is given by a non-positive Radon measure. Our focus is on the negative part of the spectrum, for which we derive estimates on the eigenvalue counting function, individual eigenvalues, and bounds of Lieb-Thirring type. A key ingredient in our approach is Otelbaev’s function, an averaging of the potential that plays a crucial role both in the formulation of the results and in their proofs. (Joint work with Robert Fulsche and Grigori Rozenblum.)