On the discrete eigenvalues of a discrete Schroedinger operator with a finitely supported potential
On the discrete eigenvalues of a discrete Schroedinger operator with a finitely supported potential
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关于具有有限支持势的离散薛定谔算子的离散特征值
DOI：
10.1007/s11005-016-0876-0
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发表时间：
2016
影响因子：
1.2
通讯作者：
Yuji Nomura and Osamu Ogurisu
中科院分区：
文献类型：
--
作者：
Yusuke Hayashi;Yusuke Higuchi;Yuji Nomura and Osamu Ogurisu
在d维格和正则树上，给出了势支集和势强度分别对应的离散Laplacian的离散本征值个数的精确表达式.特别地，小于本质谱的下确界的本征值的数目由负强度的数目限定。
On thed-dimensional latticeand ther-regular tree, an exact expression for the number of discrete eigenvalues of a discrete Laplacian with a finitely supported potential is described in terms of the support and the intensities of the potential on each case. In particular, the number of eigenvalues less than the infimum of the essential spectrum is bounded by the number of negative intensities.