中文摘要：

采用单中心展开方法和Bohn-Oppenheimer近似，用B-splines技术研究平行强外场下的氢分子离子的基态和低激发态能量的收敛性．在计算中，将径向波函数和角向波函数用B-splines基函数展开．外加磁场强度为2．35×10^3→2．35×10^6T，计算能量可以收敛到±10^-6～±10^-8eV．与其他计算结果比较表明，B-splines技术很适合用来研究强外磁场下的分子能量的计算，在强外磁场B=2．35×10^6T的情况下，仍可以获得±10^-6eV精度．

英文摘要：

The one-center expansion method and Bohn-Oppenheimer approximation are used to investigate convergence of ground and lower exited state energy of the Hydrogen molecular ion （H2^＋） in the strong external magnetic field. In the calculation, the B-splines basis function is used to build into the trial wave function and angular wave function of H2^＋. The strengths of magnetic field are 2.35×10^3→2.35×10^6 T. The convergent accuracy is ±10^-6～±10^-8 eV. Comparison with other calculated result shows that the B-splines basis function method is better for calculating the molecular ion energy in strong magnetic field. In strong magnetic field （2.35×10^6 T）, the convergent accuracy is also up to ±10^-6 eV.