Inverse scattering at a fixed quasi-energy for potentials periodic in time

被引：5

作者：

Weder, R ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Mexico City 01000, DF, Mexico

来源：

INVERSE PROBLEMS | 2004年 / 20卷 / 03期

关键词：

D O I：

10.1088/0266-5611/20/3/015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the scattering matrix at a fixed quasi-energy determines uniquely a time-periodic potential that decays exponentially at infinity. We consider potentials that for each fixed time belong to L-3/2 in space. The exponent 3/2 is critical for the singularities of the potential in space. For this singular class of potentials the result is new even in the time-independent case, where it was only known for bounded exponentially decreasing potentials.

引用

页码：893 / 917

页数：25

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