NONUNIQUENESS IN THE ONE-DIMENSIONAL INVERSE SCATTERING PROBLEM

被引：18

作者：

AKTOSUN, T

NEWTON, RG

机构：

来源：

INVERSE PROBLEMS | 1985年 / 1卷 / 04期

关键词：

D O I：

10.1088/0266-5611/1/4/003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：291 / 300

页数：10

共 10 条

[1] 2 DISTINCT LOCAL POTENTIALS WITH NO BOUND-STATES CAN HAVE THE SAME SCATTERING OPERATOR - A NONUNIQUENESS IN INVERSE SPECTRAL TRANSFORMATIONS [J].

ABRAHAM, PB ;

DEFACIO, B ;

MOSES, HE .

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[2] NONUNIQUENESS OF THE INVERSE-SCATTERING PROBLEM AND THE PRESENCE OF E=0 BOUND-STATES [J].

BROWNSTEIN, KR .

PHYSICAL REVIEW D, 1982, 25 (10) :2704-2705

[3] INVERSE SCATTERING ON THE LINE [J].

DEIFT, P ;

TRUBOWITZ, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1979, 32 (02) :121-251

[4]

Faddeev L., 1964, T MATEM I VA STEKLOV, V73, P314

[5] EXAMPLE OF 2 DISTINCT POTENTIALS WITHOUT POINT EIGENVALUES WHICH HAVE THE SAME SCATTERING OPERATOR WITH THE REFLECTION COEFFICIENT C(0)=-1 [J].

MOSES, HE .

PHYSICAL REVIEW A, 1983, 27 (04) :2220-2221

[6]

Newton R.G., 1983, C INVERSE SCATTERING, P1

[7] INVERSE SCATTERING .1. ONE DIMENSION [J].

NEWTON, RG .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (03) :493-505

[8] REMARKS ON INVERSE SCATTERING IN ONE DIMENSION [J].

NEWTON, RG .

JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (10) :2991-2994

[9] VARIATIONAL-PRINCIPLES FOR INVERSE SCATTERING [J].

NEWTON, RG .

INVERSE PROBLEMS, 1985, 1 (04) :371-380

[10]

SABATIER PC, 1984, INVERSE PROBLEMS ACO, P82

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