The scattering problem for nonlocal potentials

被引：3

作者：

Zolotarev, V. A. ^{[1
,2
]}

机构：

[1] Natl Acad Sci Ukraine, Verkin Inst Low Temp Phys & Engn, Kharkov, Ukraine

[2] Kharkov Natl Univ, Kharkov, Ukraine

来源：

SBORNIK MATHEMATICS | 2014年 / 205卷 / 11期

关键词：

one-dimensional perturbation; nonlocal potential; inverse scattering problem;

D O I：

10.1070/SM2014v205n11ABEH004429

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We solve the direct and inverse scattering problems for integro-differential operators which are one-dimensional perturbations of the self-adjoint second derivative operator on the half-axis. We also describe the scattering data for this class of operators. Bibliography: 28 titles.

引用

页码：1564 / 1598

页数：35

共 50 条

[21] INVERSE SCATTERING PROBLEM FOR SEPARABLE POTENTIALS
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[22] NONSYMMETRIC NONLOCAL POTENTIALS AND HARTREE-FOCK SCATTERING FORMALISMS
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[23] LARGE-ANGLE SCATTERING FOR NONLOCAL QUASI-POTENTIALS
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[24] DESCRIPTION OF ELASTIC SCATTERING PROCESSES WITH USE OF NONLOCAL SEPARABLE POTENTIALS
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[29] NONLOCAL APPROACH TO SCATTERING IN A ONE-DIMENSIONAL PROBLEM
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