多通道系统的共振
Resonances of Multichannel Systems
摘要：
我们描述的结构的T-矩阵，散射矩阵，和格林函数的非物理能量片在多通道散射问题与二进制通道和三体问题。基于非物理层上T-和S-矩阵值的显式表示，我们证明了属于非物理层的共振只是那些能量，其中相应的截断散射矩阵，在物理层中，具有本征值为零。此外，我们表明，截断散射矩阵的本征向量与其零本征值形成的破碎振幅为各自的共振态。
英文摘要：
We describe structure of the T-matrices, scattering matrices, and Green functions on unphysical energy sheets in multichannel scattering problems with binary channels and in the three-body problem. Based on the explicit representations obtained for the values of T- and S-matrices on the unphysical sheets, we prove that the resonances belonging to an unphysical sheet are just those energies where the correspondingly truncated scattering matrix, taken in the physical sheet, has eigenvalue zero. We show, in addition, that eigenvectors of the truncated scattering matrix associated with its zero eigenvalue are formed of the breakup amplitudes for the respective resonant states.
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