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Schrödinger Operator Perturbed by Operators Related to Null Sets |
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| Authors: | Karwowski W Koshmanenko V Ôta S |
| Institution: | (1) Institute of Theoretical Physics, University of Wroclaw, Wroclaw, Poland;(2) Institute of Mathematics, Ukrainian Academy of Sciences, Kyiv, Ukraine;(3) Kyushu Institute of Design, Fukuoka, Japan |
| Abstract: | We discuss the Schrödinger operator with positive singular perturbations given by operators which act in the space constructed by a positive measure supported by a null set. We construct examples when perturbations are given by the one-dimensional Laplacian on a segment. |
| Keywords: | singular perturbation self-adjoint extension positive Radon measure |
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