Double wells

Asymptotic analysis of the energy levels of double‐well potentials is discussed. Based on a previously developed method, the asymptotic behavior of the perturbation theory coefficients an for the 1/R expansion of the ground state of the hydrogen molecular ion H+2 is presented in analytic form. Nine terms in the expansion of an in powers of 1/n are obtained, and the first four agree with the four obtained by numerical fitting by Čížek et al. The one‐dimensional oscillator double well and more complicated multiple wells are also discussed.