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9–14 Jun 2019
Balaton Limnological Research Institute of the Hungarian Academy of Sciences
Europe/Budapest timezone

Nonrelativistic ionization energy levels of the helium atom

12 Jun 2019, 14:40
5m
Balaton Limnological Research Institute of the Hungarian Academy of Sciences

Balaton Limnological Research Institute of the Hungarian Academy of Sciences

H-8237 Tihany, Klebelsberg Kuno str. 3, Hungary

Speaker

Damir Aznabayev (L.N.Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan)

Description

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.

[1] C. Schwartz, Experiment and theory in computations of the He atom ground state. Int. J. Mod. Phys.E 15, 877 (2006); C. Schwartz, Further Computations of the He atom ground state. ArXiv:math-phys/0605018, (2006).
[2] V.I. Korobov, Nonrelativistic ionization energy for the helium ground state. Phys.Rev. A 66, 024501 (2002).
[3] V.I. Korobov, Coulomb three-body bound-state problem: variational calculations of nonrelatistic energies. Phys. Rev.A. 61, 064503 (2000).

Primary author

Damir Aznabayev (L.N.Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan)

Co-authors

A. K. Bekbaev (BLTP JINR Dubna) Vladimir Korobov (Joint Institute for Nuclear Research)

Presentation materials