Application of the Variational Monte Carlo Method to the Three Electron Coulomb and Harmonium Systems

S.B. Doma¹ , G.D. Roston² , M.F. Ahmed³

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.4 , pp.1-7, Aug-2022

Online published on Aug 31, 2022

Copyright © S.B. Doma, G.D. Roston, M.F. Ahmed . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The problems of three electron interacting systems are considered in this paper. In the first part of the present paper, we considered the ground state, the lithium - like ions, and the core excited states of the lithium atom. Trial wave functions constructed from multiplication of hydrogenic wave functions and correlation wave functions are used in the calculations carried out in the first part. Furthermore, the compressed lithium atom by a hard wall spherical box is also investigated. In the second part of the present paper, we investigated the three-electron harmonium atom at which harmonic potential is used rather than the effect of Coulomb potential. The obtained results are in good agreement with the results of other works.

Key-Words / Index Term :
Ground state of the lithium atom, lithium iso electronic ions, excited states of lithium, confined lithium atom , three electron harmonium atoms

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