Nonrelativistic energy levels of helium atom

Abstract

The nonrelativistic ionization energy levels of a helium atom are calculated for $S$, $P$, $D$ and $F$ 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 up to 28-35 significant digits. Calculations of the nonrelativistic ionization energy of the negative hydrogen ion H${}^{-}$ are also presented.

7 pages 5 tables

References in corpus (1)

• Constraints on exotic spin-dependent interactions between matter and antimatter from antiprotonic helium spectroscopy

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