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 28 条

[1]

BEALS R, 1985, P SYMP PURE MATH, V43, P45

[2] THE D-BAR APPROACH TO INVERSE SCATTERING AND NONLINEAR EVOLUTIONS [J].

BEALS, R ;

COIFMAN, RR .

PHYSICA D-NONLINEAR PHENOMENA, 1986, 18 (1-3) :242-249

[3]

Birman M. Sh., 1966, AM MATH SOC TRANSL, V53, P23

[4]

Faddeev L.D., 1966, SOV PHYS DOKL, V10, P1033

[5]

FADDEEV LD, 1976, J SOVIET MATH, V5, P334

[6]

Gohberg I, 1960, AM MATH SOC TRANSL, V14, P217, DOI DOI 10.1090/TRANS2/014/09

[7] GROWTH PROPERTIES OF SOLUTIONS OF THE REDUCED WAVE EQUATION WITH A VARIABLE COEFFICIENT [J].

KATO, T .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (03) :403-425

[8]

NACHMAN AI, 1984, STUD APPL MATH, V71, P243

[9]

NEWTON RG, 1981, J MATH PHYS, V22, P631, DOI 10.1063/1.524916

[10] INVERSE SCATTERING .3. 3 DIMENSIONS, CONTINUED [J].

NEWTON, RG .

JOURNAL OF MATHEMATICAL PHYSICS, 1981, 22 (10) :2191-2200

← 1 2 3 →