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.
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页码：3015 / 3030
页数：16
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