RECONSTRUCTION OF STEP-LIKE POTENTIALS

被引：52

作者：

SACKS, PE

机构：

[1] Department of Mathematics, Iowa State University, Ames

来源：

WAVE MOTION | 1993年 / 18卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0165-2125(93)90058-N

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this article we study some numerical methods for the determination of a potential V(x) in the one-dimensional Schrodinger equation. We assume that V(x)=0 for x<0, and tends to a nonnegative constant as x tends to positive infinity. We suppose also that there are no bound states. The approach pursued here is a based on a transformation to an equivalent 'time domain' problem, namely the determination of an unknown coefficient in a wave equation. We also discuss some advantages of replacing the unknown potential by an equivalent unknown impedance.

引用

页码：21 / 30

页数：10

共 28 条

[1]

BAYLISS A, 1989, MATH COMPUT, V52, P321, DOI 10.1090/S0025-5718-1989-0958869-1

[2] THE ONE-DIMENSIONAL INVERSE PROBLEM OF REFLECTION SEISMOLOGY [J].