Ground States of Few Electron Atoms in a Strong Magnetic Field Using Diffusion Monte Carlo Method

S.B. Doma¹ , N.A. El-Nohy² , M.A. Salem³

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.1 , pp.1-7, Feb-2020

CrossRef-DOI:   https://doi.org/10.26438/ijsrpas/v8i1.17

Online published on Feb 28, 2020

Copyright © S.B. Doma, N.A. El-Nohy, M.A. Salem . 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 :
We applied the diffusion quantum Monte Carlo method to investigate the effect of a strong magnetic field on the few-electron atoms. Gaussian type orbital basis sets are used in the computations developed by using Post-Hartree-Fock methods. We calculated the ground state energy eigenvalues of the helium, lithium, beryllium, and boron atoms. The advantages of adding the electrons correlations to the wave function in the technique of diffusion Monte Carlo method enabled us to solve the Schrödinger equation for these atoms in the external magnetic field for different strengths. The method showed good agreements with the previous results.

Key-Words / Index Term :
Diffusion Monte Carlo method, Few electron atoms, Strong magnetic field

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