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 $n\ge 2$, and lower super-threshold resonance appears for n = 1.

中文翻译：

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n维晶格上具有δ势的离散薛定谔算子的阈值

摘要

研究了定义在n  +1δ势的n维晶格上的薛定谔算子的特征值行为。可以看出，下阈值特征值和下阈值共振出现$n\ge 2$，并且对于n  = 1，出现较低的超阈值共振。