用推广的等效两体方法求解类氦离子三体问题
Equivalent Twobody Method for Helium like Ions
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摘要: 介绍了求解三体问题的等效两体方法,将等效两体方法推广到原子系统,利用该方法求解类氦离子的基态,与一般的单参数变分法相比得到了与实验值符合得更好的结果,进而利用双参数变分法对所得结果进行了检验。 结果表明,等效两体方法同样适用于求解原子系统中的三体问题。
An extended equivalent twobody method for threebody systems is introduced in this article. The method is applied to an atomic threebody system. Energies and wave functions of a heliumlike ion are calculated,which are consistent with the experimental data much better,in contrast to the results obtained by a oneparameter calculus of variations approach. Then we use a twoparameter calculus of variations approach to verify the precision of the ground state energy and wave function obtained by the extended equivalent twobody method. These results indicated that the extended equivalent two body method is applicable to an atomic threebody problem.Abstract: An extended equivalent twobody method for threebody systems is introduced in this article. The method is applied to an atomic threebody system. Energies and wave functions of a heliumlike ion are calculated,which are consistent with the experimental data much better,in contrast to the results obtained by a oneparameter calculus of variations approach. Then we use a twoparameter calculus of variations approach to verify the precision of the ground state energy and wave function obtained by the extended equivalent twobody method. These results indicated that the extended equivalent two body method is applicable to an atomic threebody problem.