THE DIRECT AND INVERSE PROBLEM IN NEWTONIAN SCATTERING

被引：3

作者：

ASTABURUAGA, MA ^{[1
]}

FERNANDEZ, C ^{[1
]}

CORTES, VH ^{[1
]}

机构：

[1] UNIV CHILE,FAC CIENCIAS,DEPT MATEMAT,SANTIAGO,CHILE

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1991年 / 118卷

关键词：

D O I：

10.1017/S030821050002895X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the direct and inverse scattering problem on the phase space for a classical particle moving under the influence of a conservative force. We provide a formula for the scattering operator in the one-dimensional case and we settle the properties of the potential that can be deduced from it. We also study the question of recovering the shape of the barriers which can be seen from -infinity and infinity. An example is given showing that these barriers are not uniquely determined by the scattering operator.

引用

页码：119 / 131

页数：13

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