The structure of a non-relativistic S-matrix
The structure of a non-relativistic S-matrix
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非相对论性 S 矩阵的结构
DOI：
10.1098/rspa.1960.0096
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发表时间：
1960
期刊：
影响因子：
--
通讯作者：
K. J. L. Couteur
中科院分区：
文献类型：
--
作者：
K. J. L. Couteur
本文考虑了粒子与具有离散激发态的目标的非相对论散射的S矩阵。假设S-矩阵是能量的解析函数，将酉性和可逆性条件推广到复平面，并证明了S-矩阵的所有元素如何由一个函数P（k，K，L.）粒子在各个通道中的动量，在S的极点处为零。对于双通道问题，由S矩阵的极点在复平面上的位置和在∞处的条件显式地构造了S矩阵，并给出了关于极点个数和位置的必要条件。
The S-matrix for the non-relativistic scattering of a particle by a target possessing discrete excited states is considered. Assuming the S-matrix to be an analytic function of the energy, the unitarity and reversibility conditions are extended into the complex plane, and it is shown how all the elements of the S-matrix can be constructed from a single function P(k, K, L ...) of the momenta of the particle in the various channels, which has zeros at the poles of S. For the two channel problem the S-matrix is constructed explicitly from the positions of its poles in the complex plane together with conditions at ∞, and necessary conditions on the number and positions of the poles are formulated.