Precise potential harmonic approach to directly solving Schrodinger equations of helium-like three-body systems

Precise potential harmonic approach to directly solving Schrodinger equations of helium-like three-body systems

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摘要 A complete potential harmonic scheme is presented,including the linked coupled hyperradial ordi nary differential equations and the secular equation of eigencnergy It has been used to directly solve the Scchrodinger equations of helium-like three-body systems (nuclear charge Z=1-9),and very accurate ground state eigonenergies as well as low-lying singlet excited state ones have been obtained A complete potential harmonic scheme is presented,including the linked coupled hyperradial ordi nary differential equations and the secular equation of eigencnergy It has been used to directly solve the Scchrodinger equations of helium-like three-body systems (nuclear charge Z=1-9),and very accurate ground state eigonenergies as well as low-lying singlet excited state ones have been

作者王沂轩邓从豪

机构地区 Institute of Theoretical Chemistry

出处《Science China Chemistry》 SCIE EI CAS 1997年第3期330-336,共7页 中国科学（化学英文版）

基金 Project supported hy the National Natural Science Foundation of China the Science Foundation for Youth of Shandong University

关键词 hyperspherical COORDINATE POTENTIAL harmonics THREE-BODY system SCHRODINGER equation radial CORRELATION angular CORRELATION hyperspherical coordinate,potential harmonics,three-body system,Schrodinger equation,radial correlation,angular correlation

分类号 O613 [理学—无机化学]

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1王沂轩,邓从豪.Correlation-function potential-harmonic and generalized Laguerre function method for directly solving Schrodinger equations of atoms[J].Science China Chemistry,1996,39(3):318-326.
2WANG, Yi-Xuan DENG, Cong-HaoInstitute of Theoretical Chemistry, Shandong University, Jinan, Shandong 250100, China.The eigenenergies for ~3S excited states of the helium atom with CFPHGLF method[J].Chinese Journal of Chemistry,1997,15(1):13-16.
3WANG Yi-xuan, ZHUANG Bing-you and LIU Cheng-bu (School of Chemistry, Shandong University, Jinan 250100, China) (Department of Chemistry, Weifang College, Weifang 261043, China).Performance of Hyperspherical Harmonic Expansionon the Low-lying P and D States of Helium Atom[J].Chemical Research in Chinese Universities,2000,16(4):351-355.
4王沂轩,邓从豪.Potential-harmonic and Generalized Laguerre Function Expansion for Atomic Wave Function[J].Chinese Science Bulletin,1994,39(23):1980-1984.
5WANG Yi-xuan,BU Yu-xiang,LIU Cheng-bu.Exact Radial Solution of the Non-relativistic Schrdinger Equation for the Helium Atom with the Potential Harmonic Method[J].Chemical Research in Chinese Universities,2000,16(3):213-217.
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7WANG Yixuan and DENG ConghaoInstitute of Theoretical Chemistry, Shandong University, Jinan 250100, China.Nonvariational calculation of eigenenergies for ~3S states of helium-like systems[J].Chinese Science Bulletin,1997,42(4):301-304.
8Yi CHEN,Ying ZHU(Center for Molecular Sciences. Institute of Chemistry.Chinese Academy of Sciences. Beijing 100080).Capillary Electrophoretic Separation of Proteins under the Control of Radial Electric Field[J].Chinese Chemical Letters,1999,10(9):777-780.
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Science China Chemistry

1997年第3期

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Precise potential harmonic approach to directly solving Schrodinger equations of helium-like three-body systems

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