1D states of the beryllium atom: Quantum mechanical nonrelativistic calculations employing explicitly correlated Gaussian functions

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Date

2011

Authors

Sharkey, Keeper L.
Bubin, Sergiy
Adamowicz, Ludwik

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Abstract

Very accurate finite-nuclear-mass variational nonrelativistic calculations are performed for the lowest five 1D states (1s2 2p2, 1s2 2s1 3d1, 1s2 2s1 4d1, 1s2 2s1 5d1, and 1s2 2s1 6d1) of the beryllium atom (9Be). The wave functions of the states are expanded in terms of all-electron explicitly correlated Gaussian functions. The exponential parameters of the Gaussians are optimized using the variational method with the aid of the analytical energy gradient determined with respect to those parameters. The calculations exemplify the level of accuracy that is now possible with Gaussians in describing bound states of a four-electron system where some of the electrons are excited into higher angular states

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Research Subject Categories::NATURAL SCIENCES::Physics, Quantum mechanical nonrelativistic calculations

Citation

Keeper L. Sharkey, Sergiy Bubin, Ludwik Adamowicz; 2011; 1D states of the beryllium atom: Quantum mechanical nonrelativistic calculations employing explicitly correlated Gaussian functions; PHYSICAL REVIEW A

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