Variational Monte Carlo calculations of lithium atom in strong magnetic field


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Abstract

The variational Monte Carlo method is applied to investigate the ground state and some excited states of the lithium atom and its ions up to Z = 10 in the presence of an external magnetic field regime with γ = 0–100 arb. units. The effect of increasing field strength on the ground state energy is studied and precise values for the crossover field strengths were obtained. Our calculations are based on using accurate forms of trial wave functions, which were put forward in calculating energies in the absence of magnetic field. Furthermore, the value of Y at which ground-state energy of the lithium atom approaches to zero was calculated. The obtained results are in good agreement with the most recent values and also with the exact values.

About the authors

S. B. Doma

Mathematics Department, Faculty of Science

Author for correspondence.
Email: sbdoma@alexu.edu.eg
Egypt, Alexandria, 21526

M. O. Shaker

Mathematics Department, Faculty of Science

Email: sbdoma@alexu.edu.eg
Egypt, Tanta, 31527

A. M. Farag

Mathematics Department, Faculty of Science

Email: sbdoma@alexu.edu.eg
Egypt, Tanta, 31527

F. N. El-Gammal

Mathematics Department, Faculty of Science

Email: sbdoma@alexu.edu.eg
Egypt, Shebin El-Kom, 32511

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