两个氢原子之间的范德华相互作用：下一级
Van der Waals interactions between two hydrogen atoms: The next orders
摘要：
我们推广了一个方法（E.坎塞斯和L.R. Scott，SIAM J. Math. Anal.，50，2018，381- 410），以计算两个氢原子之间的范德华吸引力的渐近展开中的更多项。这些条款是通过求解一组修改的斯莱特-柯克伍德偏微分方程。通过数值模拟以及与文献中其他方法的比较，证明了该方法的准确性。它还表明，散射态的氢原子，这是与连续谱的哈密顿量的状态，有一个主要的贡献的C $_6$系数的范德华展开。
英文摘要：
We extend a method (E. Cancès and L.R. Scott, SIAM J. Math. Anal., 50, 2018, 381--410) to compute more terms in the asymptotic expansion of the van der Waals attraction between two hydrogen atoms. These terms are obtained by solving a set of modified Slater-Kirkwood partial differential equations. The accuracy of the method is demonstrated by numerical simulations and comparison with other methods from the literature. It is also shown that the scattering states of the hydrogen atom, that are the states associated with the continuous spectrum of the Hamiltonian, have a major contribution to the C$_6$ coefficient of the van der Waals expansion.
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