Vol. 23, issue 08, article # 4

Kalinin K. V. Calculation of energy levels of the hydrogen molecule, using the moment constant summability method with specialized weight. // Optika Atmosfery i Okeana. 2010. V. 23. No. 08. P. 656-659 [in Russian].
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Abstract:

The moment constant summability method with specialized weight is considered in this work. The method is applied to a calculation of some vibrational-rotational energy levels of two-atomic hydrogen molecule. Earlier, it was tested on model problems only. Some energy levels were received by Pade, Pade-Borel, Pade-Hermit methods and ab initio for a comparison. The calculations were made for the ground state and first ten excited vibrational states.

Keywords:

divergent series, perturbation theory, moment constant summability method, hydrogen molecule