V. Kostrykin et R. Schrader, Determination of the scattering amplitudes of Schrodinger operators from the cross-sections, a new approach, LETT MATH P, 48(2), 1999, pp. 197-200
In this Letter we show how the scattering amplitudes of nonrelativistic one
-particle Schrodinger operators with a scalar (not necessarily rotation inv
ariant) potential may be obtained from the scattering cross-sections for th
e system where a scalar potential is added and whose scattering amplitudes
are known explicitly.