强磁场中氢原子基态和激发态能级的变分计算

Variational Calculations of Energy Levels for Hydrogen Atom in Strong Magnetic Fields

采用Ｂａｙｅ和Ｖｉｎｃｋｅ柱对称性有限基矢集，对其变分参数的选取作了扩充和改进，应用变分法求得强磁场（Ｂ＞１０５Ｔ）中氢原子的基态和第一激发态能级值，与已有最好的数值计算结果精度相近，但文中采用的基矢集相对简单，不但结果容易重复。

A finite variational basis assembly with cylindrical symmetry which presented by Baye and Vincke was applied to calculate the energies of the ground and the excited states for the hydrogen atom in a strong magnetic field( B >10 5 T) by improving the choice of the variational parameters. Our results agree well with the most accurate data known by now. The simplicity of the calculation and formulate summarising the behaviour of the variational parameters make the results easy to reproduce, and its very useful to the study of other characters of hydrogen atom in strong magnetic fields by using the obtained hydrogen wavefunctions.