INVERSE SCATTERING .2. 3 DIMENSIONS

被引:111
作者
NEWTON, RG
机构
[1] Physics Department, Indiana University, Bloomington
关键词
D O I
10.1063/1.524637
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Assuming that a scattering amplitude, given as a function of the energy and the directions of the incident and scattered particles, is associated with a local potential without spherical symmetry via the Schrödinger equation in three space dimensions, this potential is uniquely reconstructed by two methods. One is based on a generalization of the Marchenko equation; the other, on a generalization of the Gel'fand-Levitan equation. © 1980 American Institute of Physics.
引用
收藏
页码:1698 / 1715
页数:18
相关论文
共 23 条
[1]   TIME-DEPENDENT APPROACH TO THE TOTAL SCATTERING CROSS-SECTION [J].
AMREIN, WO ;
PEARSON, DB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (09) :1469-1492
[2]  
AMREIN WO, 1977, SCATTERING THEORY QU, P215
[3]  
CHADAN K, 1977, INVERSE PROBLEMS QUA, P36
[4]  
Faddeev L.D., 1966, SOV PHYS DOKL, V10, P1033
[5]  
FADDEEV LD, 1976, J SOVIET MATH, V5, P334
[6]  
FADDEEV LD, 1971, ITP71106E REP
[7]  
FADDEEV LD, 1966, SOV PHYS DOKL, V11, P209
[8]  
GELFAND IM, 1966, GENERALIZED FUNCTION, V5
[9]   DETERMINATION OF SCATTERING POTENTIAL FROM SPECTRAL MEASURE FUNCTION .5. GELFAND-LEVITAN EQUATION FOR THREE-DIMENSIONAL SCATTERING PROBLEM [J].
KAY, I ;
MOSES, HE .
NUOVO CIMENTO, 1961, 22 (04) :689-+
[10]   A SIMPLE VERIFICATION OF GELFAND-LEVITAN EQUATION FOR 3-DIMENSIONAL SCATTERING PROBLEM [J].
KAY, I ;
MOSES, HE .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1961, 14 (03) :435-&