On Local Perturbations of SCHRÖdinger Operator on Plane

Details On Local Perturbations of SCHRÖdinger Operator on Plane On Local Perturbations of SCHRÖdinger Operator on Plane

2002-08-17

arxiv.org/abs/math-ph/0208025v1

Physics

Mathematical Physics

Scientific paper

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

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