Exceptional points and double poles of the S matrix.
Exceptional points and double poles of the S matrix.
复制标题
S 矩阵的特异点和双极点。
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
I. Rotter
中科院分区：
文献类型：
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作者：
I. Rotter
S矩阵的例外点和双极点都是由一对特征值的合并所表征的。在第一种情况下，合并导致希尔伯特空间的缺陷。在第二种情况下，这是不是这样，在以前的文件中所示。在数学上，这种差异的原因是在第一种情况下被忽略的非厄米特算子的本征函数的双正交性。希尔伯特空间的拓扑结构的后果进行了研究，并与现有的实验数据进行比较。
Exceptional points and double poles of the S matrix are both characterized by the coalescence of a pair of eigenvalues. In the first case, the coalescence causes a defect of the Hilbert space. In the second case, this is not so as shown in previous papers. Mathematically, the reason for this difference is the biorthogonality of the eigenfunctions of a non-Hermitian operator that is ignored in the first case. The consequences for the topological structure of the Hilbert space are studied and compared with existing experimental data.