中文摘要：

在椭球坐标系下，采用B样条基组方法计算了磁场范围在0—1000 a．u．下氢原子低能态能量以及实验室磁场下（几个特斯拉）氢原子里德堡态的能级，得到了至少9住有效数值的高精度能谱并与文献中的精确结果进行了比较。本文方法为精确计算强磁场下原子能谱提供了一个新的选择方案。

英文摘要：

A B-spline-type basis-set method for the calculation of hydrogen atom in strong magnetic fields in the frame of spheroidal coordinates has been introduced. High accurate energy levels of hydrogen in magnetic field, strength ranged from 0 to 1000 a.u. , have been obtained. For the ground state, 1s0, energies with at least 11 significant digits have been obtained. And for the low-lying excited state, 2p- 1 state, energies with at least 9 significant digits are obtained. The method has been also applied to the calculation of hydrogen Rydberg states in laboratory magnetic fields. Energy spectra with at least 10 significant digits are presented. A comparison with other results in the literatures has been performed. Our results are comparable to the most accurate one up to date. A possible extension to the cases of parallel and crossed electric and magnetic fields have been discussed.