Abstract
The iteration of a previously discussed procedure for the approximate solution of the two-particle partial differential equations of perturbation theory is presented. This iterative procedure is useful when the perturbation can be written as a finite sum of separable terms. The solution obtained is probably an asymptotic expansion of which the leading terms provide a good approximation to the exact solution. The two-particle and nonadditive three-particle London energies for interacting hydrogen atoms are calculated using the second and first iterations, respectively; the third and second iterations, respectively, of these energies diverge. The semiconvergence of the series is demonstrated and discussed, and further applications are mentioned.