COOK-KURODA CRITERION IN SCATTERING THEORY

被引：10

作者：

KATO, T

机构：

[1] Department of Mathematics, University of California, Berkeley, 94720, California

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1979年 / 67卷 / 01期

关键词：

D O I：

10.1007/BF01223202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new criterion of the Cook-Kuroda type for the existence of the wave operator in the two-space scattering theory is introduced. The condition is quite simple, but it generalizes not only the original Cook-Kuroda condition but also its generalization recently given by Schechter. Specialized to the one-space case, it is actually equivalent to Schechter's condition for an optimal choice of factorization. An application to potential scattering leads to a new result. © 1979 Springer-Verlag.

引用

页码：85 / 90

页数：6

共 7 条

[1]

Cook J. M., 1957, J MATH PHYS, V36, P82

[2]

KATO T, 1967, J FUNCT ANAL, V1, P342

[3]

Kato T., 1976, PERTURBATION THEORY

[4] ON THE EXISTENCE AND THE UNITARY PROPERTY OF THE SCATTERING OPERATOR [J].