Nonrelativistic energy levels of helium atoms

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. © 2018 American Physical Society.

Authors
Aznabaev D.T.1, 2, 3 , Bekbaev A.K.1, 4 , Korobov V.I. 1, 5
Journal
Physical Review A
Publisher
American Physical Society
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1103/PhysRevA.98.012510
Number
012510
Volume
98
Year
2018
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
Ionization; Basis functions; Energy value; Helium atom; Negative hydrogen ions; Nonrelativistic; Nonrelativistic energy; Significant digits; Variational methods; Helium
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6515/
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