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Atomic Properties of the Two-Electron System using Variational Monte Carlo Technique

100%

Doma S., El-Gammal F.

Acta Physica Polonica A

2012

vol. 122

issue 1

42-48

Using variational Monte Carlo method we calculated the lowest order relativistic corrections for the ground state energies of the helium-like atoms, up to Z = 10, and also for some excited state energies of the helium atom. These relativistic corrections include: mass-velocity effect, orbit-orbit interaction, spin magnetic and dipole moments of the two electrons and the Darwin effect. Moreover, correction due to the nucleus motion has been also calculated. Our results were obtained by using two new types of compact and accurate trial wave functions for the helium ions. For excited states we used simple trial wave functions of good quality and accurate results. The obtained results are in good agreement with the most recent previous accurate values and also with the exact values.

Ground States of Helium Atom and Hydrogen Negative Ion in the Presence of Magnetic Field Using Variational Monte Carlo Technique

81%

Doma S., Shaker M., Farag A., El-Gammal F.

vol. 126

issue 3

700-705

Using variational Monte Carlo method, we calculated the 1^1 0^{+} state energies, the derivatives of the total energy and the ionisation energies of the helium atom, and hydrogen negative ion in the presence of magnetic field regime between 0 a.u. and 10 a.u. Our calculations are based on using two types of compact and accurate trial wave functions used before to calculate energies in the absence of magnetic field. Our results are in good agreement with the most recent previous accurate values and also with the exact values.

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2 Acta Physica Polonica A

1 2014

1 2012

2 Doma S.

2 El-Gammal F.

1 Farag A.

1 Shaker M.

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Atomic Properties of the Two-Electron System using Variational Monte Carlo Technique

Ground States of Helium Atom and Hydrogen Negative Ion in the Presence of Magnetic Field Using Variational Monte Carlo Technique