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Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice

Hiroshima, FumioFaculty of Mathematics, Kyushu UniversityMuminov, ZahriddinUzbek-Israel Joint Faculty, National University of UzbekistanKuljanov, UtkirFaculty of Mathematics, Samarkand State University
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Eigenvalue behaviours of Schrödinger operator defined on n-dimensional lattice with n + 1 delta potentials are studied. It can be shown that lower threshold eigenvalue and lower threshold resonance appear for n≥2, and lower super-threshold resonance appears for n = 1.

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