We present a simple interpolation formula using dimensional limits D = 1 and D = ∞ to obtain the D = 3 ground-state energies of atoms and molecules. For atoms, these limits are linked by first-order perturbation terms of electron-electron interactions. This unorthodox approach is illustrated by ground-states for two, three, and four electron atoms, with modest effort to obtain fairly accurate results. Also, we treat the ground-state of H₂ over a wide range of the internuclear distance R, and compares well with the standard exact results from the Full Configuration Interaction method. Similar dimensional interpolations may be useful for complex many-body systems.

我们使用尺寸限制给出一个简单的插值公式 d = 1并且 d =∞获得 d= 3个原子和分子的基态能量。对于原子，这些限制由电子-电子相互作用的一阶扰动项链接。这种非正统的方法用两个，三个和四个电子原子的基态来说明，并付出了适度的努力来获得相当准确的结果。同样，我们在宽范围的核间距离R上处理H _2的基态，并与完全配置相互作用法的标准精确结果进行了很好的比较。相似的尺寸插值法对于复杂的多体系统可能很有用。