Spectral propeties of Schroedinger operators on perturbed lattices
Spectral propeties of Schroedinger operators on perturbed lattices
复制标题
扰动格子上薛定谔算子的谱特性
DOI：
10.1007/s00023-015-0430-0
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
H. Isozaki and H. Morioka
中科院分区：
文献类型：
--
作者：
K. Ando;H. Isozaki and H. Morioka
研究了微扰格上Schrödinger算子的谱性质。我们将证明嵌入特征值的不存在性或离散性，解的极限吸收原理，构造谱表示，并定义s矩阵。我们的理论涵盖了方形、三角形、菱形、Kagome晶格，以及梯形、石墨和方形晶格的细分。
We study the spectral properties of Schrödinger operators on perturbed lattices. We shall prove the non-existence or the discreteness of embedded eigenvalues, the limiting absorption principle for the resolvent, construct a spectral representation, and define the S-matrix. Our theory covers the square, triangular, diamond, Kagome lattices, as well as the ladder, the graphite and the subdivision of square lattice.