Schrodinger equation for system of two mobile spinless nucleus with Z₀ = 2 and four electrons (⁴He₂-dimer) has been solved in the framework of exact diagonalization approach. The spectrum has been obtained with basis of 1134 functions built as direct product of one-particle hydrogen-like functions which are solutions of the exactly solved Sturm-Liouville problem. The asymptotic (Van der Waals) behavior of interaction between two ⁴He atoms in the limit $R_0\to \mathrm{\infty }$ has been analyzed and discussed. The contribution to the interaction energy from four electronic spins on the ⁴He–⁴He bond has been calculated the exact diagonalization procedure.

中文翻译：

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a4He−4He二聚体与移动核内的原子间相互作用

已经在精确对角化方法的框架内求解了具有Z ₀  = 2和四个电子( ⁴ He _{2 -}二聚体)的两个移动无自旋核系统的薛定谔方程。该谱是基于 1134 个函数而获得的，这些函数是作为单粒子类氢函数的直接乘积构建的，这些函数是精确求解的 Sturm-Liouville 问题的解。极限中两个⁴ He 原子之间相互作用的渐近（范德华）行为${\mathrm{电阻}}_0\to \mathrm{\infty }$进行了分析和讨论。⁴ He– ⁴ He 键上的四个电子自旋对相互作用能的贡献已通过精确的对角化过程计算出来。