Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential
Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential
复制标题
具有静电势的一维狄拉克算子的密集点谱
DOI：
10.1017/s0308210500023271
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
K. Schmidt
中科院分区：
文献类型：
--
作者：
K. Schmidt
对于一维狄拉克算子，静电势的衰变行为任意接近库仑衰变的例子被构造的运营商有一个规定的本征值密集的整个或部分的本质谱。附录中给出了带静电势的一维Dirac算子的本质谱不为空的简单证明。
For the one-dimensional Dirac operator, examples of electrostatic potentials with decay behaviour arbitrarily close to Coulomb decay are constructed for which the operator has a prescribed set of eigenvalues dense in the whole or part of its essential spectrum. A simple proof that the essential spectrum of one-dimensional Dirac operators with electrostatic potentials is never empty is given in the appendix.