基于变分法求解氢原子的径向波函数和能级

doi:10.16854 / j.cnki.1000-0712.190086

College Physics ›› 2019, Vol. 38 ›› Issue (11): 62-.doi: 10.16854 / j.cnki.1000-0712.190086

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Investigation on the radial wave function and energy level of hydrogen atom by the variational method

LU Xin，ZHENG Hua

School of Physics & Information Technology，Shaanxi Normal University，Xi'an，Shaanxi 710119，China

Received:2019-03-08 Revised:2019-05-10 Online:2019-11-20 Published:2019-12-25

Abstract

Abstract: We investigate the hydrogen atom model in quantum mechanics by using the variational method and present the corresponding deduction. The software Mathematica is utilized to calculate the optimal trial wave functions and the corresponding energy levels. We also compare our results with the exact ones given by the confluence hypergeometric function ( Kummer function) .

Key words: variational method, hydrogen atom, energy level distribution, wave function

LU Xin, ZHENG Hua. Investigation on the radial wave function and energy level of hydrogen atom by the variational method[J].College Physics, 2019, 38(11): 62-.

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Investigation on the radial wave function and energy level of hydrogen atom by the variational method

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