INVERSE SCATTERING PROBLEM FOR THE 3-D SCHRODINGER-EQUATION AND WIENER-HOPF FACTORIZATION OF THE SCATTERING OPERATOR

被引：5

作者：

AKTOSUN, T ^{[1
]}

VANDERMEE, C ^{[1
]}

机构：

[1] FREE UNIV AMSTERDAM,DEPT PHYS & ASTRON,1007 MC AMSTERDAM,NETHERLANDS

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 09期

关键词：

D O I：

10.1063/1.528621

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Sufficient conditions are given for the existence of a Wiener-Hopf factorization of the scattering operator for the 3-D Schrödinger equation with a potential having no spherical symmetry. A consequence of this factorization is the solution of a related Riemann-Hilbert problem, thus providing a solution of the 3-D inverse scattering problem. © 1990 American Institute of Physics.

引用

页码：2172 / 2180

页数：9

共 50 条

[31] BOUND-STATES AND INVERSE SCATTERING FOR THE SCHRODINGER-EQUATION IN ONE-DIMENSION
AKTOSUN, T
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (12) : 6231 - 6236
[32] APPLICATION OF THE INVERSE SCATTERING METHOD TO THE GENERALIZED NON-LINEAR SCHRODINGER-EQUATION
EICHHORN, H
INVERSE PROBLEMS, 1985, 1 (03) : 193 - 198
[33] A sampling method to an inverse scattering problem for stationary Schrodinger equation
Li, Yuan
Yao, Mingchen
Wang, Chunmei
Zhang, Fayong
APPLIED MECHANICS AND MATERIALS I, PTS 1-3, 2013, 275-277 : 1585 - 1589
[34] ON THE INVERSE SCATTERING OF THE TIME-DEPENDENT SCHRODINGER-EQUATION AND THE ASSOCIATED KADOMTSEV-PETVIASHVILI EQUATION
FOKAS, AS
ABLOWITZ, MJ
STUDIES IN APPLIED MATHEMATICS, 1983, 69 (03) : 211 - 228
[35] THE INVERSE SCATTERING TRANSFORM FOR THE TIME-DEPENDENT SCHRODINGER-EQUATION AND KADOMTSEV-PETVIASHVILI EQUATION
MANAKOV, SV
PHYSICA D, 1981, 3 (1-2): : 420 - 427
[36] Inverse fixed energy scattering problem for the generalized nonlinear Schrodinger operator
Serov, Valery
INVERSE PROBLEMS, 2012, 28 (02)
[37] Scattering by two staggered semi-infinite cracks on square lattice: an application of asymptotic Wiener-Hopf factorization
Maurya, Gaurav
Sharma, Basant Lal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (05):
[38] NEW ITERATIVE METHOD FOR SOLVING INVERSE SCATTERING PROBLEM OF 3-D WAVE-EQUATION
XIE, GQ
LI, JH
SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1988, 31 (10): : 1195 - 1202
[39] A Review on Novel Canonical Scattering Problems Solved by the Wiener-Hopf Technique with the Help of Fredholm Factorization and Network Formalism
Daniele, Vito
Lombardi, Guido
Zich, Rodolfo S.
2024 IEEE INC-USNC-URSI RADIO SCIENCE MEETING (JOINT WITH AP-S SYMPOSIUM), 2024, : 11 - 11
[40] THE SCATTERING PROBLEM FOR SCHRODINGER-EQUATION IN THE CASE OF A POTENTIAL LINEAR BOTH IN TIME AND IN COORDINATE
BABICH, VM
SMYSHLIAEV, VP
DOKLADY AKADEMII NAUK SSSR, 1985, 280 (06): : 1330 - 1333

← 1 2 3 4 5 →