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

• Authors: S. Doma , M. Shaker , A. Farag , F. El-Gammal
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

31.10.+z; 31.15.-p; 31.15.V-; 31.15.xt

Discipline

• 31.15.-p: Calculations and mathematical techniques in atomic and molecular physics(see also 02.70.-c Computational techniques, in mathematical methods in physics)
• 31.15.xt: Variational techniques
• 31.10.+z: Theory of electronic structure, electronic transitions, and chemical binding(for theory and mathematical methods applied to electronic structure of biomolecules, see 87.10.-e)
• 31.15.V-: Electron correlation calculations for atoms, ions and molecules

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 3
• Pages: 700-705

Dates

published

2014-08

received

2014-01-29

(unknown)

2014-06-15

Contributors

author

S. Doma

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

author

M. Shaker

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

author

A. Farag

• Mathematics Department, Faculty of Science, Tanta University, Tanta, 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.126.700