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

• Authors: S. Doma , F. El-Gammal
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

02.70.-c; 31.15.-p; 31.15.B-

Discipline

• 31.15.B-: Approximate calculations
• 31.15.-p: Calculations and mathematical techniques in atomic and molecular physics(see also 02.70.-c Computational techniques, in mathematical methods in physics)
• 02.70.-c: Computational techniques; simulations(for quantum computation, see 03.67.Lx; for computational techniques extensively used in subdivisions of physics, see the appropriate section; for example, see 47.11.-j Computational methods in fluid dynamics)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 1
• Pages: 42-48

Dates

published

2012-07

received

2011-09-25

Contributors

author

S. Doma

• Mathematics Department, Faculty of Science, Alexandria University, Alexandria, Egypt

author

F. El-Gammal

• Mathematics Department, Faculty of Science, Menofia University, Shebin El-Kom, Egypt

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Identifiers

DOI

10.12693/APhysPolA.122.42