“…(5) and interchanging the order of the integrations over r and q, we can integrate out the plane-wave factors in the coordinates x and y and use the resulting Dirac 5 functions 5(q"-k"+v") and 5(q -k~+ v ) to perform the q"and q" integrations. As an intermediate step in the evaluation of the matrix element (5), we then obtaiñ J(k;u, i,~;v, D)=(2m')' f dq, FJ(q, )exp( iDq, ) fdz[g"'(z)]'exp[i(q, +u, )z], (25) where the function F (q, ) is defined by FJ(q, } = f (k"', ky', q, }, and (26) k"' = k"u", k ' = k"v (27) and 0 I -(q, )= f dz exp[i(q, -p+ -)z] (28) are the x and y components, respectively, of the momentum of the metal electron relative to the moving ion. exp(ik, z ) in gk ' (z) and from the refiected wave 2 exp(ik, z ), respectively.…”