非局域可分离势的非相对论量子散射：本征信道方法
Non-relativistic quantum scattering from non-local separable potentials: the eigenchannel approach
摘要：
本征信道方法的一个最近制定的版本[R. Szmytkowski，《年度物理学》（纽约）{ \bf 311}，503（2004）]应用于薛定谔粒子在非局域可分势场中的量子散射。引入特征信道向量和特征相移的负余切作为加权矩阵谱问题的特征解，而不需要事先构造散射矩阵并将其对角化.推导了散射振幅、散射总截面的本征信道矢量和本征相移的显式表达式。给出了一个分析实例。
英文摘要：
A recently formulated version of the eigenchannel method [R. Szmytkowski, Ann. Phys. (N.Y.) {\bf 311}, 503 (2004)] is applied to quantum scattering of Schrödinger particles from non-local separable potentials. Eigenchannel vectors and negative cotangents of eigenphase-shifts are introduced as eigensolutions to some weighted matrix spectral problem, without a necessity of prior construction and diagonalization of the scattering matrix. Explicit expressions for the scattering amplitude, the total cross section in terms of the eigenchannel vectors and the eigenphase-shifts are derived. An illustrative example is provided.
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