Irreducibility of the Bloch variety for finite-range Schrödinger operators
Irreducibility of the Bloch variety for finite-range Schrödinger operators
复制标题
有限范围薛定谔算子的布洛赫簇的不可约性
DOI：
10.1016/j.jfa.2022.109670
复制
发表时间：
2022
影响因子：
1.7
通讯作者：
Matos, Rodrigo
中科院分区：
文献类型：
--
作者：
Fillman, Jake;Liu, Wencai;Matos, Rodrigo
我们研究了与复周期势和一般有限程相互作用相关联的离散薛定谔算子的Bloch簇，表明Bloch簇对于任意维的广泛的一类晶格几何是不可约的。例子包括三角形晶格和扩展的哈珀晶格。
We study the Bloch variety of discrete Schrödinger operators associated with a complex periodic potential and a general finite-range interaction, showing that the Bloch variety is irreducible for a wide class of lattice geometries in arbitrary dimension. Examples include the triangular lattice and the extended Harper lattice.