AbstractElastic scattering of electrons by cut‐off Coulomb potentialUc(r) is investigated, whereUc(r) = 0, forr>rcandUc(r) = −1/r+ 1/rcforr≦rc. This is first considered in terms of classical, and later quantum mechanical (partial wave) methods in the low energy range 0 ≦ ϵ ≲ 1/rc, where ϵ is the energy of the free electron. Scattering in this energy region displays a number of particular characteristics, such as back scattering, at certain energies. It can be concluded that some agreement does exist between the classical and quantum mechani