Correspondence Principle in Inelastic Scattering

Ionization of hydrogen by electrons is examined for the case of high-incident-electron energies. The Born quantum cross section is found to approach the classical expression in the limit of large principal quantum numbers. The energy dependence of the cross section at high energy is discussed; it is expected that the cross sections go smoothly from ($\frac{\ln E}{E}$) to $\frac{1}{E}$ behavior as $n$ becomes large.