Confined atoms in plasma environment: variational Monte Carlo calculations

El-Gammal, F. N.

doi:10.1080/00268976.2021.1879302

Cited by 5 publications

(2 citation statements)

References 49 publications

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“…The present paper aims to extend our previous results [45] for spherically compressed hydrogen and helium atoms embedded in a plasma-like environment to include the case of lithium atoms in their ground state. The energy eigenvalues are obtained using the variational and diffusion Monte Carlo methods, marking the first utilization of these methods in such a study.…”

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confidence: 87%

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Compressed lithium atom under Debye screening

Doma,

Salem,

El‐Gammal

2023

Int J of Quantum Chemistry

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In the present paper, we introduced two approximation methods to investigate the spherically compressed lithium atom under the influence of Debye plasma. Specifically, the diffusion and the variational Monte Carlo methods are used for the first time to study this case. We incorporated an exponential screening into the nuclear Coulomb potential to account for the plasma influence. We focused our investigation on analyzing the combined effect of compression and plasma environment on the behavior of the lithium atom in its ground state. The resulting outcomes exhibited consistent pattern across various confinement radii and Debye plasma lengths . Many of the results are novel contributions, as they have yet to be explored. Moreover, the findings from this study demonstrated reasonable agreement with the limited existing theoretical results.

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confidence: 87%

“…In this context, we specifically examine two highly effective methods: the variational Monte Carlo (VMC) method and the diffusion Monte Carlo (DMC) method. While we have previously discussed the VMC method in our earlier works (see References [18,19,45]), our focus here is solely on the DMC method.…”

Section: The Theorymentioning

confidence: 99%