摘要
本文给出了基于Ｊｏｓｔ解完备关系导出一维Ｍａｒｃｈｅｎｋｏ方程的新方法．迄今为止，Ｍａｒｃｈｅｎｋｏ方程的推导都是基于Ｊｏｓｔ解的解析性质，而这种推导不适用于工程中实用的逆散射问题．本文还讨论了逆散射问题与正散射问题解完备性间关系，指出正散射解完备性公式中包含有决定逆散射问题的全部散射信息．
This paper presents a new derivation of the Marchenko equation on the full line on the basis of the completeness relation for the Jost solution system in stead of using the analytic properties of the Jost solution conventionally. It also discusses the relationship between an inverse scattering problem and the completeness relation for its scattering solution system in which the complete scattering information is incorporated.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
1996年第2期9-17,共9页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
国家自然科学基金
