On local perturbations of Shrodinger operator in axis

Details On local perturbations of Shrodinger operator in axis On local perturbations of Shrodinger operator in axis

2002-02-11

arxiv.org/abs/math-ph/0202015v2

Teoreticheckaya i matematicheskaya fizika, 2002, v. 132, No. 1, P. 97-104 (in Russian), translated in Theoretical and Mathemat

Physics

Mathematical Physics

9 pages

Scientific paper

We adduce the necessary and sufficient condition for arising of eigenvalues
of Shrodinger operator in axis under small local perturbations. In the case of
eigenvalues arising we construct their asymptotics.

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