求解一维散射问题的Lippmann-Schwinger方法  

Lippmann-Schwinger Method to Solve the One-dimension Scattering Problem

作　　者：王琴惠[1] 

机构地区：[1]华南理工大学应用物理系,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2004年第3期77-79,共3页Journal of South China University of Technology(Natural Science Edition)

摘　　要：给出了用一维Lippmann_Schwinger积分方程处理量子散射问题的形式理论 ,计算了δ势垒和方势垒的贯穿系数和反射系数 ,并与直接求解薛定谔方程的方法所得的结果进行了比较 .结果表明 ,用Lippmann_Schwinger积分方程求解一维散射问题比较简便和有效 ,而且所得结论和直接法完全一致 .This paper proposes a formal theory to deal with the quantum scattering problem by the one-dimension Lippmann-Schwinger integral equation,gives the calculation of the transmission and reflection coefficients of the δ potential barrier and the square potential barrier,and makes a comparison between the results obtained from solving the one-dimension scattering problems separately by the Lippmann-Schwinger equation and directly by the Schrdinger equation,which shows that the former is comparatively simple and effective,and demonstrating the consistence between the two methods.

关 键 词：一维散射 Lippmann-Schwinger方程 势垒 贯穿系数 反射系数 

分 类 号：O413.1[理学—理论物理]