Quantum multiple scattering: Eigenmode expansion and its applications to proximity resonance
Quantum multiple scattering: Eigenmode expansion and its applications to proximity resonance
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量子多重散射：本征模展开及其在邻近共振中的应用
DOI：
10.1103/physreva.67.032712
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发表时间：
2001
影响因子：
2.9
通讯作者：
E. Heller
中科院分区：
文献类型：
--
作者：
Sheng Li;E. Heller
我们证明了对于一般的N个s波点散射体系统，总是有N个本征模。这些本征模或本征信道对球对称目标起着与球谐波相同的作用——它们只产生相移。换句话说，系统的T矩阵是N秩的，特征模态是对应于T矩阵的非零特征值的特征向量。本征模展开法可以深入了解总散射截面；共振峰的位置、宽度和超辐射或次辐射性质；基于宽带高能尾的尖锐邻近共振峰的非对称法诺线形状；和其他属性。相同近似散射体的非共振本征模近似为角动量本征态。
We show that for a general system of N s-wave point scatterers, there are always N eigenmodes. These eigenmodes or eigenchannels play the same role as spherical harmonics for a spherically symmetric target--they give a phase shift only. In other words, the T matrix of the system is of rank N, and the eigenmodes are eigenvectors corresponding to nonzero eigenvalues of the T matrix. The eigenmode expansion approach can give insight to the total scattering cross section; the position, width, and superradiant or subradiant nature of resonance peaks; the unsymmetric Fano line shape of sharp proximity resonance peaks based on the high-energy tail of a broadband; and other properties. Off-resonant eigenmodes for identical proximate scatterers are approximately angular-momentum eigenstates.