https://doi.org/10.1140/epjd/s10053-024-00918-3
Regular Article - Atomic Physics
Modified Le Sech wavefunction for investigating confined two-electron atomic systems
1
Department of Physics, Institute of Science, Banaras Hindu University, 221005, Varanasi, India
2
Theoretical and Computational Physics Section, Raja Ramanna Centre for Advanced Technology, 452013, Indore, India
3
Homi Bhabha National Institute, Training School Complex, Anushaktinagar, 400094, Mumbai, India
Received:
3
June
2024
Accepted:
22
September
2024
Published online:
18
October
2024
In this article, we propose an alternate approach to study confined two-electron systems using the modified form of the Le Sech wavefunction. In the present approach, rather than using the cut-off factor in the variational wavefunction, we determine it directly by solving Schrödinger like equation. The results for kinetic energies, electron-nucleus interaction, electron–electron interaction, total energies, densities, ionization energies, and moments of confined 
and He atom are compared with the most accurate values found in the literature to show the effectiveness of our method. The present approach applies to a wide range of confinement potentials. We demonstrate it by showing the results for Coulomb, harmonic oscillator, and soft-confinement potentials.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjd/s10053-024-00918-3.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
