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类氦离子1,3P激发态Schrdinger方程的直接解
Direct Solutions of the Schrodinger Equations for 1, 3P States of the Heliumlike Systems
【摘要】 利用相关函数(CF)-超球谐(HH)-广义Laguerre(GLF)方法直接求解类氦离子n1,3P(n=1,2,3)低躺激发态的Schrodinger方程,得氦原子的本征能量分别为-2.13317Eh(l3P),-2.12383Eh(11P),-2.05810Eh(23P),-2.05516Eh(21P),-2.03235Eh(33P)和-2.03109Eh(31P),它们与文献值在第6位上很好地吻合.这说明CFHHGLF方法也适用于类氦离子1,3P激发态.还给出了总角动量L=1的对称超球谐基函数和有关矩阵元的解析式.
【Abstract】 The correlation function-hyperspherical harmonic (CFHH) and generalized Laguerre function (GLF)method has been used to directly solve the equations of the n1,3P (n = 1, 2, 3)low-lying excited states for the heliumlike systems. The eigenenergies of the helium atom are, -2.13317 Eh(13P), -2.12383 Eh(11P), -2.05810 Eh(23P), -2.05516 Eh(21P), -2.03235 Eh(33P)and -2.03109 Eh(31P), respectively, which agree well with the literature data at the sixth figure.The result shows that the CFHHGLF method is also well siuted for the 1,3P states of the helium-like systems. Moreover, the symmetric base functions for L= 1, and analytic expressions of the related matrix elements are also given.
【Key words】 Heliumlike systems; Schr■dinger equations; Hyperspherical coordinate;
- 【文献出处】 化学物理学报 ,CHINESE JOURNAL OF CHEMICAL PHYSICS , 编辑部邮箱 ,2000年03期
- 【分类号】O641
- 【下载频次】30