New Matrix for Long and Short Range Potential Scattering

摘要

A new matrix f(p,k) is given for scattering in both long and short range potentials, and which becomes equal to the scattering amplitude when p = k. In the Coulomb case there are thus no anomalies. The f-matrix is established by means of an irregular scattering solution of the Schroedinger equation. The connection with the T-matrix is shown. The Coulomb f-matrix is given in closed form. The Yukawa and two other short range f-matrices are calculated to first order. The partial Coulomb f/sub l/ matrix is given. (Atomindex citation 11:538975)