Inverse Scattering for a Schrödinger Operator with a Repulsive Potential

被引:0
作者
François Nicoleau
机构
[1] Département de Mathématiques,Laboratoire de Mathéatiques Jean Leray, UMR CNRS
来源
Acta Mathematica Sinica | 2006年 / 22卷
关键词
Inverse scattering; Repulsive potential; 81U40;
D O I
暂无
中图分类号
学科分类号
摘要
We consider a pair of Hamiltonians (H,H0) on L2(ℝn), where H0 = p2−x2 is a Schrödinger operator with a repulsive potential, and H = H0+V (x). We show that, under suitable assumptions on the decay of the electric potential, V is uniquely determined by the high energy limit of the scattering operator.
引用
收藏
页码:1485 / 1492
页数:7
相关论文
共 11 条
[1]  
Hörmander undefined(1995)undefined Math. Z. 219 413-undefined
[2]  
Enss undefined(1995)undefined J. Math. Phys 36 3902-undefined
[3]  
Arians undefined(1997)undefined J. Math. Phys. 38 2761-undefined
[4]  
Jung undefined(1995)undefined J. Math. Phys. 36 3902-undefined
[5]  
Weder undefined(1996)undefined Journal of Functional Analysis 139 441-undefined
[6]  
Nicoleau undefined(2003)undefined Asymptotic Analysis 35 349-undefined
[7]  
Weder undefined(2002)undefined Inverse Problems 18 1041-undefined
[8]  
Nicoleau undefined(1997)undefined Communication in P.D.E 22 527-undefined
[9]  
Nicoleau undefined(2000)undefined Journal of Mathematical Physics 8 5223-undefined
[10]  
Nicoleau undefined(2004)undefined Journal in Differential Equations 205 354-undefined