On Local Perturbations of SCHR\"Odinger Operator on Plane
classification
🧮 math-ph
math.MP
keywords
operatoreigenvaluelocalodingerperturbationsplaneschrasymptotics
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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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