Eigensolution of Schrödinger Equation for Harmonically Bound Two-Body Coulomb System
DUAN Yi-wu1,2, SHI Lei2, FENG Mang2, YAN Min2, ZHU Xi-wen2
1Department of Physics, Hu’nan Normal University, Changsha 410081
2Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics,
Chinese Academy of Sciences, Wuhan 430071
Eigensolution of Schrödinger Equation for Harmonically Bound Two-Body Coulomb System
1Department of Physics, Hu’nan Normal University, Changsha 410081
2Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics,
Chinese Academy of Sciences, Wuhan 430071
Abstract： 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.
1998, Vol. 15 
