Eigensolution of Schrödinger Equation for Harmonically Bound Two-Body Coulomb System  

作　　者：DUAN Yi-wu SHI Lei FENG Mang YAN Min ZHU Xi-wen 段宜武;施磊;冯芒;颜霟;朱熙文(Department of Physics,Hu’nan Normal University,Changsha 410081;Laboratory of Magnetic Resonance and Atomic and Molecular Physics,Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan 430071)

机构地区：[1]Department of Physics,Hu’nan Normal University,Changsha 410081 [2]Laboratory of Magnetic Resonance and Atomic and Molecular Physics,Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan 430071

出　　处：《Chinese Physics Letters》1998年第8期568-570,共3页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.19404004。

摘　　要：Taking two identical ions in a Paul trap,we solved the SchrÖdinger equation for one-,two-,and three-dimensional harmonically bound two-body Coulomb models,in which the eigenfunctions are written in a series form and the eigenenergies are obtained from a continued fraction.Numerical calculations are made for specific discussion of two-and three-dimensional case.The comparison with a former one-dimensional approximate work shows that our result is more general and accurate.

关 键 词：continued HARMONIC identical 

分 类 号：O17[理学—数学]