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Quantum State Preparation Representation Quantum Chemistry Quantum Simulation Entanglement Theory Quantum Correlations

On 1/Z expansion for two-electron systems

arXiv
Authors: J. C. Lopez Vieyra, A. V. Turbiner

Year

2013

Paper ID

32779

Status

Preprint

Abstract Read

~2 min

Abstract Words

119

Citations

N/A

Abstract

The 1/Z-expansion for the Coulomb system of infinitely massive center of charge Z and two electrons is discussed. Numerical deficiency in Baker et al, {\em Phys. Rev. \bf A41}, 1247 (1990) is indicated which continue to raise doubts in correctness of their calculations of the higher order coefficients in 1/Z-expansion expressed in Refs.[4-5]. It is shown that a minor modification of a few first coefficients found in Ref.[3] allows to calculate the ground state energies at Z\ =\ 1, 2,ldots \ 10 (as well as at Z > 10) with a portion of 15th decimal digit in comparison with highly accurate calculations by C. Schwartz and by Nakashima-Nakatsuji. Ground state energies of two-electron ions Z=11\ \(Na9+\) and Z=12\ \(Mg10+\) are found with 14 decimal digits.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The 1/Z-expansion for the Coulomb system of infinitely massive center of charge Z and two electrons is discussed.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.2707 [2] arXiv https://arxiv.org/abs/1309.2707 [3] Publisher https://arxiv.org/abs/1309.2707

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