Nonrelativistic ionization energy levels of a helium atom

Authors

  • D.T. Aznabayev Al-Farabi Kazakh National University, IETP, al-Farabi 71, 050040 Almaty, Kazakhstan
  • A.K. Bekbaev Al-Farabi Kazakh National University, IETP, al-Farabi 71, 050040 Almaty, Kazakhstan
  • I.S. Ishmukhamedov Al-Farabi Kazakh National University, IETP, al-Farabi 71, 050040 Almaty, Kazakhstan
  • V.I. Korobov Joint Institute for Nuclear Research, 141980 Dubna, Moscow oblast, Russia
  • A.B. Turmaganbet Joint Institute for Nuclear Research, 141980 Dubna, Moscow oblast, Russia

Keywords:

Key words, variational method, expansion, variational principle, Schrӧdinger equation, inverse iteration method. PACS numbers, 31.15.-p, 34.50.Fa.

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. Variational wave functions of bound states were obtained by solving the Schrodinger equation for the quantum three body problem with Coulomb interaction using a variational approach based on exponential expansion with the parameters of exponents being chosen in a pseudorandom way. 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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Published

2016-10-03

Issue

Vol. 2 No. 1 (2015): PHYSICAL SCIENCES AND TECHNOLOGY

Section

Theoretical Physics and Astrophysics

License

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How to Cite

Nonrelativistic ionization energy levels of a helium atom. (2016). Physical Sciences and Technology, 2(1). https://phst.kaznu.kz/index.php/journal/article/view/63