On the first solution of a long standing problem: Uniqueness of the phaseless quantum inverse scattering problem in 3-d

被引：22

作者：

Klibanov, Michael V. ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 37卷

关键词：

Long standing open question; Inverse quantum scattering problem; The absence of the phase information; Uniqueness theorems;

D O I：

10.1016/j.aml.2014.06.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

After publishing his recent paper in SIAM J. Appl. Math. 74, 392-410, 2014 the author has realized that actually he has addressed in that paper, for the first time, a long standing open question being unaware about this. This question is about the uniqueness of a 3-d inverse scattering problem without the phase information. Thus, it makes sense in the current paper to explicitly make the latter statement and to formulate corresponding uniqueness theorems. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：82 / 85

页数：4

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