This paper is a generalization of two of our preceding papers which considered, among other things, a version of the solution with a minimum and a maximum number of atoms in the spatial configurations 1+2+3. Some results of these works, pertaining to probabilistic transitions of atoms from one configuration to another, follow from the results of the given paper as a special case.

中文翻译：

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关于原子系统中的空间跃迁问题

本文是对我们之前发表的两篇论文的概括，其中除其他事项外，还考虑了在空间配置1 + 2 + 3中具有最小和最大原子数的解决方案的版本。这些工作的一些结果，与原子从一种构型到另一种构型的概率跃迁有关，是作为特殊情况从给定论文的结果得出的。