We consider the problem of quantum ''reflection above the barrier,'' i
ntroducing a distorted-wave Born approximation based on the primitive
semiclassical Wentzel-Kramers-Brillouin wave function. The idea genera
lizes to the concept of an unperturbed Hamiltonian defined as the exac
t Hamiltonian plus small parts which ''turn off'' nonclassical process
es such as barrier reflection and barrier tunneling.