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Energy levels of a helium atom

  • Physics of elementary particles and atomic nuclei. Theory
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Abstract

The nonrelativistic ionization energy levels of a helium atom are calculated for S, P, and D states. The calculations are based on the variational method of “exponential” expansion. The convergence of the calculated energy levels is studied as a function of the number of basis functions (N). This allows us to claim that the obtained energy values (including the values for the states with a nonzero angular momentum) are accurate to 20 significant digits.

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Correspondence to D. T. Aznabayev.

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Original Russian Text © D.T. Aznabayev, A.K. Bekbaev, I.S. Ishmukhamedov, V.I. Korobov, 2015, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2015.

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Aznabayev, D.T., Bekbaev, A.K., Ishmukhamedov, I.S. et al. Energy levels of a helium atom. Phys. Part. Nuclei Lett. 12, 689–694 (2015). https://doi.org/10.1134/S1547477115050040

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