FINITE-DIFFERENCE SOLUTION TO THE SCHRODINGER EQUATION FOR THE HELIUM ISOELECTRONIC SEQUENCE

被引:17
作者
HAWK, IL
HARDCASTLE, DL
机构
[1] BAYLOR UNIV,DEPT PHYS,WACO,TX 76703
[2] BAYLOR UNIV,WACO,TX 76703
关键词
D O I
10.1016/0010-4655(79)90084-5
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The method described previously for the solution of the Schrodinger equation for S-type states of helium has been applied to the helium isoelectronic sequence. The Schrodinger equation, which is an elliptic partial-differential equation, is converted to a set of finite-difference equations which are solved by a relaxed iterative technique. The method is applied to the 11S two-electron systems for Z = 1 through 8 and 23S state for Z = 3. The results include expectation values of the total energy, kinetic and potential terms, and rn, n = -2, -1, 1, 2, and are compared with the work of Pekeris. The total energy for the hydrogen ion, which has only one bound state, is -0.52746 and differs from Pekeris' value by 0.055%. Other total energy values differ by 0.004% or less. © 1979.
引用
收藏
页码:159 / 166
页数:8
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