Nonrelativistic energy levels of helium atom

The nonrelativistic 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. © 2019 Sissa Medialab Srl. All rights reserved.

Authors
Aznabayev D.T.1, 2, 3 , Bekbaev A.K.1, 4 , Korobov V.I. 1, 5
Conference proceedings
Proceedings of Science
Publisher
Sissa Medialab Srl
Language
English
Status
Published
Number
060
Volume
353
Year
2019
Organizations
  • 1 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russian Federation
  • 2 Institute of Nuclear Physics, Ministry of Energy of the Republic of Kazakhstan, Almaty, 050032, Kazakhstan
  • 3 L.N. Gumilyov Eurasian National University, Astana, 010000, Kazakhstan
  • 4 Al-Farabi Kazakh National University, Almaty, 050038, Kazakhstan
  • 5 Peoples' Friendship University of Russia, RUDN University, 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Basis functions; Energy value; Helium atom; Nonrelativistic energy; Significant digits; Variational methods; Helium
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