共振散射与散射函数的奇异性
Resonance scattering and singularities of the scattering function
摘要:
最近的研究与复势输运现象解释的一般平方根奇异性的频谱和本征函数的非厄米哈密顿。使用两个通道的问题,我们证明了这种奇异性产生显着的影响后,散射矩阵的极点行为,更显着的相关残留物。该机制解释了为什么通过适当选择系统参数,共振截面在一个通道中急剧增加而在另一个通道中被抑制。
英文摘要:
Recent studies of transport phenomena with complex potentials are explained by generic square root singularities of spectrum and eigenfunctions of non-Hermitian Hamiltonians. Using a two channel problem we demonstrate that such singularities produce a significant effect upon the pole behaviour of the scattering matrix, and more significantly upon the associated residues. This mechanism explains why by proper choice of the system parameters the resonance cross section is increased drastically in one channel and suppressed in the other channel.
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