Kummer-function representation of ridge traveling waves

We present Kummer-function representation of an infinite set of local solutions for describing the double continua of two atomic electrons. Specific connection between the rate of flux loss from the ridge region and the double-excitation mechanism is discussed. Analysis based strictly on the local behavior of the solution leaves some ambiguity in threshold law for ${}_{}{}^3{}_{}{}^{}\mathrm{S}_{}^{\mathrm{e}}{}_{}{}^{}$ and ${}_{}{}^1{}_{}{}^{}\mathrm{P}_{}^{\mathrm{e}}{}_{}{}^{}$; otherwise Wannier’s threshold law holds beyond reasonable doubt. The quantum-mechanical treatment is complemented and elucidated by classical trajectories.