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《Journal of Anhui Normal University(Natural Science)》 2003-01
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EXACT SOLUTION OF THE RADIAL SCHRODINGER EQUATION OF THE HYDROGEN ATOM FOR POTENIAL

ZHOU Guo zhong (Zhejiang Trade School, Jinhua 321001,China)  
In this paper,using the continued fraction method we have obtained the exact solution of the radial schrodinger equation of the Hydrogen Atom for potential V(r)=-e 2 sr.
【CateGory Index】: O413.1
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【References】
Chinese Journal Full-text Database 10 Hits
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4 ZHOU Guo-zhong,HE Bao-gang,XU Chang-zhi(Jinhua Education College,Jinhua Zhejiang 321000,China);Analytic Solution of the Radial Schrdinger Equation for Inverse-power Potential V(r)=W/r~4+D/r~3+C/r~2+B/r[J];Journal of Dezhou University;2010-02
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6 Yuan Ying,Zhu Saijuan,Zhou Guozhong (Jinhua Education College,Jinhua Zhejiang 321000,China);Analytic Solution to the Schrdinger Equation for the Superposed Potential V(r)=A_6r~6+A_5r~5+A_4r~4+A_3r~3+A_2r~2+A_1r+(B_4/r~4)+(B_3/r~3)+(B_2/r~2)+(B_1/r)[J];Journal of Lishui University;2011-02
7 ZHOU Guo-zhong, GENG Xin-min WANG Shi-ying(Jinhua Broadcast and Television University, Jinhua, Zhejiang 321000,China);Analytic solution to the Schr dinger equation for the anharmonic oscillator potential V(r)=D_0r~(14)+D_1r~(12)+D_2r~(10)+D_3r~8+D_4r~6+D_5r~4+D_6r~2[J];Journal of Guizhou Normal University(Natural Science);2005-01
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10 ZHOU Guo-zhong (Jinhua Broadcast Television University,Jinhua,Zhejiang,321000,China);Exact Solution of the Hamiltonian Eigenvalue Equation of the Ion with Potential V(r)=Z~2r~(-4)-d_1d_2r~(-3)[J];Journal of Xuzhou Normal University(Natural Science Edition);2004-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHOU Guozhong (Jinhua Broadcasting Television University, Jinhua 321001, Chain);THE SOLUTION OF THE RADIAL SCHRDINGER EQUATION OF THE ISOTROPIC HARMONIC OSCILLATOR BY CONTINUED FRACTIONMETHOD[J];Journal of Anhui Normal University(Natural Science);2003-03
2 SHAN Xiao-you,JIANG Liang-guang(Department of Physice,Anshan Normal University,Anshan Liaoning 114005,China);The Uncertain Relationship of Fourier Transformation andIts Reverse Transformation[J];Journal of Anshan Normal University;2005-06
3 MIN Wen-qiang,LIU Shan-cun(School of Economics and Management,Beijing University of Aeronautics and Astronautics,Beijing 100191,China);Analysis of Stock Market Returns Based on A Wave Function[J];Journal of Beijing University of Aeronautics and Astronautics(Social Sciences Edition);2010-06
4 ZHAO Min(Basic Courses Department of Beijing Union University,Beijing 100101,China);Quantum Effect of the Motion of Charge in Magnetic Field[J];Journal of Beijing Union University(Natural Sciences);2009-01
5 HUANG Hong,WANG Lan(College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China);Local One-Dimensional Multisymplectic Integrator for Schr dinger Equation[J];Journal of Jiangxi Normal University(Natural Science Edition);2011-05
6 YE Wei-qiang,DENG Yi-min,WANG Wei(School of Mechanical Engineering and Mechanics,Ningbo University,Ningbo 315211,China);Design and experimental study of an experimental device for piezoresistivity of magnetorheological elastomers[J];Transducer and Microsystem Technologies;2011-03
7 WANG Xiang-xian CAI Zhi-gang XU Ming-kun(Department of Physics and Electronic Science,ChoHu College,Chaohu AnHui 238000);THE DIGITALIZED EDUCATION SOFTWARE OF RADIAL WAVE FUNCTION OF THE HYDROGEN-LIKE ATOM[J];Journal of Chaohu College;2010-06
8 JING Xiao-gong, CHEN Shuo, ZHAO Yong-fang (Department of Physics, Center for Condensed Matter Science and Technology,  Harbin Institute of Technology, Harbin 150001, China);The relationship of the square potential and δ potential[J];College Physics;2004-12
9 JIN Shi-chao (School of Physics, Lanzhou University, Lanzhou 730000, China);The visualization of a calculating method in quantum mechanics[J];College Physics;2004-12
10 GUAN Hong (Department of Physics,Zhongshan University,Guangzhou 510275,China);Comments on Zeng Jinyan's textbooks of quantum mechanics[J];College Physics;2006-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 ZHOU Guozhong (Jinhua Broadcasting Television University, Jinhua 321001, Chain);THE SOLUTION OF THE RADIAL SCHRDINGER EQUATION OF THE ISOTROPIC HARMONIC OSCILLATOR BY CONTINUED FRACTIONMETHOD[J];Journal of Anhui Normal University(Natural Science);2003-03
2 ZHOU Guo-zhong(Jinhua Broadcast Television university, Jinhua 321000,China);ANALYTIC SOLUTION TO THE SCHRDINGER EQUATION FOR THE ANHARMONIC OSCILLATOR[J];Journal of Anhui Normal University(Natural Science);2005-01
3 CAI Tianfang,SHE Shouxian(School of Science,Norther Jiaotong University,Beijing,100044,China);A method for obtaining analytic solution of radial Schrdinger equation and relations between ground state level for surperposed potential and potential parametres[J];College Physics;2002-12
4 ZHANG Chang-xin, XI Wei, SU Yan-fei (Department of Technical Physics, Maoming College, Maoming,Guangdong 525000, China);A formula of energy level for hydrogen atom in Stark effect[J];College Physics;2004-12
5 Wen ShengleCollege of Sciences, Hunan Normal University,Changsha, 410081 China );Energy and Wave Function of the Two-dimensionalHarmonic Oscillator and Two-dimensionalHydrogen Atom[J];Chinese Journal of Quantum Electronics;2002-03
6 Zhang Jie Qiu 1)2) Liang Chang Hong 1) Wang Geng Guo 3) Zhu Jia Zhen 3) 1) (State Key Laboratory of Antennas and Microwave Technology, Xidian University, Xi'an 710071,China) 2) (School of Engineering, Air force Engineering University, Xi'an 710038,China) 3) (School of Electrical Engineering, Xidian University, Xi'an 710071,China);Condition of Alfven Gauss wave-packet evolvement to solitons and criterion of Alfven wave modulation instability[J];Acta Physica Sinica;2003-04
7 Lu Fa-Lin Chen Chang-Yuan (Department of Physics, Yancheng Teachers College, Yancheng 224002, China);Exact solutions to the Schrdinger equation for the anharmonic oscillator potential[J];Acta Physica Sinica;2004-03
8 Hu Xian-Quan Xu Jie Ma Yong Yin Lin (College of Physics and Information Technology,Chongqing Normal University, Chongqing 400047,China);The analytic solution of the radial Schrdinger equation for the superposed potential of high-order power and inverse-power potential functions[J];Acta Physica Sinica;2007-09
9 Hu Xian-Quan Luo Guang Ma Yan Cui Li-Peng(College of Physics and Information Technology,Chongqing Normal University,Chongqing 400047,China);The analytic solution of the radial Schrdinger equation for the superposed potentials[J];Acta Physica Sinica;2009-04
10 CHEN CHANG YUAN LIU YOU WEN (Department of Physics,Yancheng Teachers College,Yancheng\ 224002);THE EXACT SOLUTION OF ANHARMONIC OSCILLATOR POTENTIAL AND THE DESCRIPTION OF DOUBLE WAVE FUNCTION[J];ACTA PHYSICA SINICA;1998-04
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Chang-xin(Department of Physics,Maoming University,Maoming 525000,China);Calculation of the Energy Levels of a Hydrogen Atom in Uniformity Strong Magnetic Field[J];Journal of Anhui Normal University(Natural Science);2010-05
2 ZHOU Guo-zhong,HE Bao-gang,XU Chang-zhi(Jinhua Education College,Jinhua Zhejiang 321000,China);Analytic Solution of the Radial Schrdinger Equation for Inverse-power Potential V(r)=W/r~4+D/r~3+C/r~2+B/r[J];Journal of Dezhou University;2010-02
3 ZHU Sai-juan,YUN Ying,ZHOU Guo-zhong(Jinhua Education Collge,Jinhua Zhejiang 321000,China);Analytic Solution to the Schrdinger Equation for the Superposition Potential V(r)=B_8r~8+B_7r~7+B_6r~6+B_5r~5+B_4r~4+B_3r~3+B_2r~2+B_1r[J];Journal of Dezhou University;2011-02
4 ZHOU Guo-zhong,HE Bao-gang(Jinhua Education College,Jinhua Zhejiang 321000,China);Analytic Solution to the Schrodinger Equation for the Anharmonic Oscillator Potential V(r)=Ar~2+Br~4+Cr~6[J];Journal of Dezhou University;2012-02
5 WANG Songbai;LEI Guangjiu;LIU Dongping;YANG Size;College of Physics and Information Engineering,Fuzhou University;School of Physics and Mechanical & Electrical Engineering,Xiamen University;Southwestern Institute of Physics;;Balmer H_α,H_β and H_γ Spectral Lines Intensities in High-Power RF Hydrogen Plasmas[J];等离子体科学和技术(英文版);2014-03
6 Yang Ning-xuan Han Jiu-ning Sun Gui-hua Ge Su-hong(Department of Physics and Electron,Hexi University,Zhangye,Gansu 734000);On the Symmetry in the Stark Effect of Hydrogen Atom[J];Journal of Hexi University;2010-05
7 ZHOU Guo-zhong, HE Bao-gang (Jinhua Education College, Jinhua, Zhejiang 321000, Chian);ANALYTIC SOLUTION OF THE SCHRDINGER EQUATION FOR THE SUPERPOSED POTENTIAL V(r)=A_0r~6+A_1r~4+A_2r~2+B_2/r~2+B_1/r~4+B_0/r~6[J];Journal of Jinggangshan University(Natural Science);2012-01
8 Yuan Ying,Zhu Saijuan,Zhou Guozhong (Jinhua Education College,Jinhua Zhejiang 321000,China);Analytic Solution to the Schrdinger Equation for the Superposed Potential V(r)=A_6r~6+A_5r~5+A_4r~4+A_3r~3+A_2r~2+A_1r+(B_4/r~4)+(B_3/r~3)+(B_2/r~2)+(B_1/r)[J];Journal of Lishui University;2011-02
9 WEI Yun-yun(College of Information Management,Chengdu University of Technology,Chengdu 610059,Sichuan);Global Existence of Damped Nonlinear Schrdinger Equation with Unbounded Potentials[J];Journal of Sichuan Normal University(Natural Science);2010-04
10 ZHOU Yong-qin, ZHOU Guo-zhong(Jinhua Broadcast Television University, Jinhua, Zhejiang 321000,China);An Exact Solution of the Hamiltonian Eigenvalue Equation of the Potential[J];Journal of Shanxi Teachers University(Natural Science Edition);2005-01
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