氦原子中双电子相互作用及其能谱的统计涨落性质

BIELECTRON INTERACTION IN HELIUM ATOM AND THE CORRESPONDING SPECTRAL STATISTICAL FLUCTUATION PROPERTIES

量子系统能谱的涨落特征与系统的动力学对称性因而与非线性度密切相关,而不取决于系统自由度多少,通过对氦原子能谱的计算及对能谱涨落的分析发现,原子中的一对电子电子剩余相互作用,不足以改变系统中心场的动力学对称性,即使人为地将这种相互作用加大到可能的程度(不致使系统离解)。系统作用势等位面的形状可直观地显示系统的对称性被破坏的程度和规律。

The spectral fluctuation properties of a quantum system are related closely to the dynamical symmetries of the system and its nonlinearity but not dependent upon number of the degrees of freedom. The energy spectrum of Helium atom is calculated, and by analysing the spectral fluctuations it is found that the residual one pair electron-electron interaction is not sufficient to change the dynamical symmetry of the nucleus-electron central field, eventhough the interaction is amplified artificially to a possible extent (as far as the dissociation of the system does not occur). It turns out that the contour plot of the potential intuitively gives the information about the symmetry of the system, indicates the degree of the symmetry breaking as well as the way how the symmetry is lost.