The Twilight Zone in the Over-barrier Scattering: between Perturbation Theory and Quasiclassics

摘要：

We discuss the applicability of Born (small perturbation) and WKB (quasiclassical) approximations for one-dimensional over-barrier scattering problem with weak long-range potentials of different profiles,both deterministic and random. The dependence of the reflection coefficient R and the localization length. loc on the amplitude and variation scale of the scattering potential is studied. It is shown that the perturbation and quasiclassical approaches are inconsistent with each other. The quantities R and. loc are quite individual for each given potential and an explicit universal condition restricting the applicability of both methods does not exist.

作者: N.M.Makarov K.Yu.Bliokh V.D.Freilikher

作者单位: Universidad Autónoma de Puebla,México Institute of Radio Astronomy,Ukraine Bar-Ilan University,Israel

会议类型: 国际会议

会议名称: Progress in Electromagnetics Research Symposium 2005(2005年电磁学研究新进展学术研讨会)(PIERS 2005)

会议地点: 杭州

会议语种:英文

页码: 487-491

在线出版日期: 2005-08-22（万方平台首次上网日期，不代表论文的发表时间）