论文标题
$δ'$顶点相互作用的量子图的手术转换和特征值估计值
Surgery transformations and eigenvalue estimates for quantum graphs with $δ'$ vertex interactions
论文作者
论文摘要
我们将用于量子图的手术工具箱扩展到反标准和$δ'$顶点条件。在顶点处具有$δ'$互动的图形laplacian特征值的单调性属性取决于顶点参数的符号。使用具有不同顶点条件和手术原理的图形拉普拉斯人的特征值之间的几个交错不平等，我们在$δ$和$δ'$ laplacians的特征值上获得了新的上和下限。
We extend the surgical tool box for quantum graphs to anti-standard and $δ'$ vertex conditions. Monotonicity properties of eigenvalues of graph Laplacian with $δ'$ interactions at vertices depend on the sign of vertex parameter. Using several interlacing inequalities between eigenvalues of graph Laplacian with different vertex conditions and surgery principles we obtain new upper and lower bounds on the eigenvalues of $δ$ and $δ'$ Laplacians.
