Wu, TtTtWuTSUNG-TSONG WU2020-04-282020-04-2819660031-899Xhttps://scholars.lib.ntu.edu.tw/handle/123456789/487211Several problems of nonrelativistic scattering by analytic potentials are studied, where both the energy and the momentum transfer are large. Specifically, we find asymptotically the reflection coefficients from the one-dimensional potentials Vex(1+ex)-2, Vex2(1+ex)-1, and Vexp(-x2), and the scattering amplitudes for their three-dimensional generalizations Ver(1+er)-2, Ver2(1+er)-1, and Vexp(-r2). The results are compared with these obtained from Born approximation, and it is found that the first Born approximation gives the correct answer asymptotically in the cases Vex2(1+ex)-1 and Ver2(1+er)-1, but not in the other cases. Conjectures about more general cases are also given. © 1966 The American Physical Society.[SDGs]SDG7journal article10.1103/PhysRev.143.1110WOS:A19667494400014