Hylleraas-Breit变换在类氦离子Schrdinger方程中的应用  

The application of the Hylleraas-Breit transformation to the Schridinger equations of heliumlike atoms

作　　者：郑伟英[1] 

机构地区：[1]北京大学数学科学学院,北京100871

出　　处：《原子与分子物理学报》2002年第3期253-259,共7页Journal of Atomic and Molecular Physics

基　　金：国家重点基础研究基金 (G19990 32 80 3);高等学校博士学科点专项科研基金资助项目 ( 990 0 0 119)

摘　　要：给出了Hylleraas Breit变换 (HBT)的具体形式 ,并用之将类氦离子不动核问题的六维Schr dinger方程化为三维的形式。The author gives the explicit form of the Hylleraas-Breit transformation in the present paper, and applies it to the fixed nuclear problems of helium-like ions. Utilizing the relation between the total angular momentum and the Hamilton, the author can transfer the six-dimensional Schr*idinger equations to three-dimensional forms. For any given stationary energy state, the author gives the energy equation or system of equations and its variational form in three variables r 1,r 2,θ, where r 1,r 2 are the distances between the two electrons and the nuclear and θ is the inter-electronic angle. The energy equations given by G. Breit are special cases in the present paper when the angular momentum number l=0,1.

关 键 词：类氦离子 Hylleraas-Breit变换 SCHROEDINGER方程 角动量 不动核问题 三维能量方程 

分 类 号：O413.1[理学—理论物理] O562.1[理学—物理]