paper

On Local Perturbations of SCHRÖdinger Operator on Plane

arXiv:math-ph/0208025

Abstract

We obtain necessary and sufficient conditions for emerging of small eigenvalue for Schrödinger operator on plane under local operator perturbations. In the case the eigenvalue emerges we construct its asymptotics. The examples are given.

On Local Perturbations of SCHRÖdinger Operator on Plane · wovepaper