Abstract
We propose a finite element approach to treat the problem of the hydrogen atom in a static electric field. We show the efficiency of a L2 basis set, i.e. B-spline functions. Particular attention is placed on the problem of the normalization in the context of parabolic coordinates. The method is applied to the study of hydrogen photoionization from the fundamental (1s) and excited (n = 2,3,4) states in a weak external DC electric field. Oscillator strengths have been calculated in the region of the field-free atomic threshold. The pertinence of the finite element approach is also discussed for the study of Stark energies of hydrogen. The results are compared with other accurate calculations when available.
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