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Schrödinger operators with nonlocal point interactions |
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| Authors: | Sergio Albeverio Leonid Nizhnik |
| Institution: | a Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53 115, Bonn 1, Germany b SFB, 611, Bonn, Germany c BiBoS, Bielefeld, Germany d IZKS, Germany e CERFIM, Locarno, Switzerland f Acc. Architet., Mendrisio, Switzerland g Institute of Mathematics, 3 Tereshchenkivs'ka, Kyiv 01601, Ukraine |
| Abstract: | Schrödinger operators with nonlocal point interactions are considered as new solvable models with point interactions. Examples in one and three dimensions are discussed. Corresponding direct and inverse scattering problems in one dimension are also discussed. |
| Keywords: | Schrö dinger operators Point interactions Self-adjoint extensions Nonlocal boundary conditions Singular interactions Singular perturbation Scattering problem Inverse scattering |
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