Spectral theory of Dirac operators with potentials diverging at infinity
Spectral theory of Dirac operators with potentials diverging at infinity
复制标题
无穷远势发散的狄拉克算子的谱论
DOI：
10.1090/suga/450
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Yamada Osanobu
中科院分区：
文献类型：
--
作者：
Ito Hiroshi T.;Yamada Osanobu
在概述Dirac算子谱理论的基础上，给出了关于无穷远发散势Dirac算子谱性质和无穷远衰减势Dirac算子非相对论极限的几个结果.后半部分讨论了具有在无穷远发散的伸缩解析势的Dirac算子的共振和非相对论极限。引用
After the overview of the spectral theory of Dirac operators, we state several results on the spectral properties of Dirac operators with potentials diverging at infinity and the nonrelativistic limit of Dirac operators with potentials decaying at infinity. In the latter half we discuss the resonance and the nonrelativistic limit of Dirac operators with dilation analytic potentials diverging at infinity. References