A NEW METHOD OF REMOVAL OF DIVERGENCE IN BORN SERIES .I. THEORY

被引：5

作者：

MICHALIK, B

机构：

[1] Institute of Plasma Physics, Czechoslovak Academy of Sciences, Prague

来源：

ANNALS OF PHYSICS | 1969年 / 55卷 / 01期

关键词：

D O I：

10.1016/0003-4916(69)90305-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The divergence of the Born series is overcome by a new method presented here. The state vector is transformed into a new one for which the perturbation series already converges. The choice of transformation vectors appearing in the theory is discussed and ideal choice is found. The previously published distortion operator method corresponds for partial waves to a special choice of the transformation vector (not ideal). The method is limited not only to problems of quantum theory, it is applicable to an arbitrary Fredholm integral equation of the second kind. © 1969.

引用

页码：41 / &

共 8 条

[1]

GOLDBERGER ML, 1964, COLLISION THEORY, P322

[2] SPECTRUM OF SCATTERING INTEGRAL OPERATOR IN PHYSICAL ENERGY SHEET [J].