| 类氦离子1,3P激发态Schrodinger方程的直接解 |
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| 引用本文： | 王沂轩,弭云杰,刘成卜.类氦离子1,3P激发态Schrodinger方程的直接解[J].化学物理学报,2000,13(3):270-274. |
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| 作者姓名： | 王沂轩 弭云杰 刘成卜 |
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| 作者单位： | 山东大学化学院 |
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| 基金项目： | 国家自然科学基金资助课题（No.29703003） |
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| 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ｎ＾１，３Ｐ（ｎ＝１，２，３）低躺激发态的Ｓｃｈｒ¨／ｏｄｉｎｇｅｒ方程，得氦原子的本征能量分别为－２．１３３１７Ｅｈ（１＾３Ｐ），－２．１２３８３Ｅｈ（１＾１Ｐ），－２．０５８１０Ｅｈ（２＾３Ｐ），－２．０５５１６Ｅｈ（２＾１Ｐ），－２．０３２３５Ｅｈ（３＾３Ｐ）和－２．０３１０９Ｅｈ（３＾１Ｐ），它们与文献
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| 关 键 词： | 类氦离子 Schr& #168 ／odinger方程 激发态 HHGLF |
| 收稿时间： | 1999/8/20 0:00:00 |
Direct Solutions of the Schrodinger Equationsfor 1,3P States of the Heliumlike Systems |
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| Wang Yixuan,Mi Yunjie and Liu Chengbu.Direct Solutions of the Schrodinger Equationsfor 1,3P States of the Heliumlike Systems[J].Chinese Journal of Chemical Physics,2000,13(3):270-274. |
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| Authors: | Wang Yixuan Mi Yunjie and Liu Chengbu |
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| Institution: | Faculty of Chemistry,Shandong University,Jinan 250100,Faculty of Chemistry,Shandong University,Jinan 250100,Faculty of Chemistry,Shandong University,Jinan 250100 |
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| 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. |
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| Keywords: | Heliumlike systems Schrodinger equations Hyperspherical coordinate |
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