Energy levels of the hydrogen atom in arbitrary magnetic fields obtained by usingB-spline basis sets

The energy values of the ground state and the low excited 2p(m=0) state of the hydrogen atom in a uniform magnetic field of arbitrary strength (up to 4.7×{}10⁸ T) have been calculated by using B-spline basis sets. The results are in good agreement with other theoretical calculations. It appears that B splines as basis functions are quite powerful in treating the problem of the hydrogen atom in an arbitrary magnetic field, especially in the transition region between low and high strength. It is also possible to extend this method to analyze general two-dimensional problems.