Threshold of discrete Schrödinger operators with delta potentials on <i>n</i>-dimensional lattice
Fumio HiroshimaFaculty of Mathematics, Kyushu University, Fukuoka, JapanZahriddin MuminovUzbek-Israel Joint Faculty, National University of Uzbekistan, Tashkent, UzbekistanUtkir KuljanovFaculty of Mathematics, Samarkand State University, Samarkand, Uzbekistan
ABI
Abstract
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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