INVERSE SCATTERING ON THE LINE FOR A DIRAC SYSTEM

被引：33

作者：

HINTON, DB

JORDAN, AK

KLAUS, M

SHAW, JK

机构：

[1] USN,RES LAB,CTR ADV SPACE SENSING,WASHINGTON,DC 20375

[2] VIRGINIA TECH,DEPT MATH,BLACKSBURG,VA 24061

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 11期

关键词：

D O I：

10.1063/1.529046

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The whole-line version of the Gelfand-Levitan-Marchenko (GLM) equation for a Dirac system is studied. A new derivation of the GLM equation is given, under weaker hypotheses than Frolov's earlier treatment [Sov. Math. Dok1. 13, 1468 (1972)], and the complete inversion is carried out in some explicit cases in which a spectral gap is present. Previous calculations of this type are restricted either to a scalar potential or degenerate gap. Applications are discussed in connection with optical couplers and soliton equations.

引用

页码：3015 / 3030

页数：16

共 50 条

[1] INVERSE SCATTERING FOR THE DIRAC OPERATOR ON THE REAL LINE
GREBERT, B
INVERSE PROBLEMS, 1992, 8 (05) : 787 - 807
[2] INVERSE PROBLEM OF SCATTERING FOR DIRAC SYSTEM AT AXIS
FROLOV, IS
DOKLADY AKADEMII NAUK SSSR, 1972, 207 (01): : 44 - +
[3] Inverse resonance scattering for Dirac operators on the half-line
Korotyaev, Evgeny
Mokeev, Dmitrii
ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (01)
[4] Inverse resonance scattering for massless Dirac operators on the real line
Korotyaev, Evgeny
Mokeev, Dmitrii
ASYMPTOTIC ANALYSIS, 2023, 132 (1-2) : 83 - 130
[5] Inverse resonance scattering for Dirac operators on the half-line
Evgeny Korotyaev
Dmitrii Mokeev
Analysis and Mathematical Physics, 2021, 11
[6] Rational reflection coefficients in inverse scattering for a Dirac system
Khater, AH
Abdalla, AA
Callebaut, DK
Ramady, AG
INVERSE PROBLEMS, 1999, 15 (01) : 241 - 251
[7] Rational reflection coefficients in inverse scattering for a Dirac system
Inverse Probl, 1 (241-251):
[8] Inverse scattering problems for the Dirac operator on the line with partial knowledge of the potentialInverse scattering for the Dirac operatorY. Yang
Ying Yang
Haiyan Jin
Guangsheng Wei
Analysis and Mathematical Physics, 2025, 15 (2)
[9] THE SOLVABILITY OF THE INVERSE PROBLEM FOR DIRAC SYSTEM ON THE WHOLE LINE
ZAMONOV, MZ
KHASANOV, AB
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1985, (06): : 3 - 7
[10] Inverse scattering problem for the difference Dirac operator on a half-line
Khanmamedov, Ag. Kh.
DOKLADY MATHEMATICS, 2009, 79 (01) : 103 - 104

← 1 2 3 4 5 →