Dirac粒子与非定域可分势的散射：本征通道方法
Scattering of Dirac particles from non-local separable potentials: the eigenchannel approach
摘要：
本征通道法新公式的一个应用[R. Szmytkowski，Ann. Phys.（纽约）{ \bf 311}，503（2004）]对Dirac粒子在非局域可分势场中的量子散射的研究。本征通道向量直接与本征通道相关，被定义为某个加权本征值问题的本征向量。此外，本征相移的负余切被引入作为该谱问题的本征值。本征通道旋量以及双旋量谐波表示整个本征通道向量。最后，根据本征通道和本征相移导出了双旋量、矩阵散射振幅和总截面的表达式。还提供了说明性示例。
英文摘要：
An application of the new formulation of the eigenchannel method [R. Szmytkowski, Ann. Phys. (N.Y.) {\bf 311}, 503 (2004)] to quantum scattering of Dirac particles from non-local separable potentials is presented. Eigenchannel vectors, related directly to eigenchannels, are defined as eigenvectors of a certain weighted eigenvalue problem. Moreover, negative cotangents of eigenphase-shifts are introduced as eigenvalues of that spectral problem. Eigenchannel spinor as well as bispinor harmonics are expressed throughout the eigenchannel vectors. Finally, the expressions for the bispinor as well as matrix scattering amplitudes and total cross section are derived in terms of eigenchannels and eigenphase-shifts. An illustrative example is also provided.
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