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Direct Solutions of the Schrodinger Equationsfor 1,3P States of the Heliumlike Systems
Wang Yixuan,Mi Yunjie,Liu Chengbu
Author NameAffiliation
Wang Yixuan Faculty of Chemistry,Shandong University,Jinan 250100 
Mi Yunjie Faculty of Chemistry,Shandong University,Jinan 250100 
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)
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
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
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