Abstract

The relevance of Wigner Scattering theory and in particular of its K-matrix formulation is stressed for all systems held together by Coulombic forces including not only atoms and molecules but also clusters. Originally developed and formulated for nuclear scattering, Wigner’s theory is extremely general, with application in many branches of physics. Atomic Physics often makes use of an apparently separate formalism (MQDT) which is in fact a specialisation of Wigner’s theory. The advantage of the K-matrix is that analytic expressions can be given for interactions between resonances in terms of a meromorphic pole structure in the special case of asymptotically Coulombic potentials. By using the K-matrix, a number of novel effects (q-reversals, vanishing radiative and particle widths, vanishing fluctuations, etc.) are understood as general phenomena.

Graphical abstract

中文翻译：

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库仑力共同作用的系统的Wigner散射理论

摘要

对于通过库仑力将所有系统结合在一起的所有系统，不仅包括原子和分子，而且包括簇，都强调了维格纳散射理论的相关性，特别是其K矩阵公式的相关性。Wigner最初是为核散射而开发和制定的，它的理论极为笼统，并在许多物理领域得到应用。原子物理学经常利用表面上分离的形式主义（MQDT），这实际上是维格纳理论的一种特殊化。K矩阵的优点在于，在渐近库仑势的特殊情况下，可以根据亚纯极结构给出共振之间相互作用的解析表达式。通过使用ķ -矩阵，一些新颖的效果（q-反转，辐射和粒子宽度消失，波动消失等）被理解为一般现象。

图形概要