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Direct Solutions of the Schrodinger Equationsfor 1,3P States of the Heliumlike Systems
Wang Yixuan, Mi Yunjie, Liu Chengbu
Faculty of Chemistry,Shandong University,Jinan 250100
Abstract:
The correlation function-hyperspherical harmonic(CFHH)and generalized Laguerrefunction (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),-2.05810Eh(23P),-2.05516 Eh(21P),-2.03235 Eh(33P)and-2.03109Eh(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,Schrodinger equations,Hyperspherical coordinate
FundProject:国家自然科学基金资助课题(No.29703003)
附件
类氦离子1,3P激发态Schrodinger方程的直接解
王沂轩, 弭云杰, 刘成卜
山东大学化学院济南 250100
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(13P),-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
关键词:  类氦离子  Schrodinger方程  超球坐标
DOI:10.1088/1674-0068/13/3/270-274
分类号: