Co-spherical electronic configuration of the helium-like atomic systems

Liverts, Evgeny Z.

doi:10.1016/j.aop.2021.168669

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2022

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“…[1] and also Ref. [15], Section For even k and maximum value of p = k/2, the RHS h k,k/2 of the FRR (3) equals zero. This implies that the GF formula (159) cannot be applied in this case.…”

Section: Resultsmentioning

confidence: 92%

Fock Expansion for Two-Electron Atoms: High-Order Angular Coefficients

Liverts

Krivec

2022

Atoms

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The Fock expansion, which describes the properties of two-electron atoms near the nucleus, is studied. The angular Fock coefficients ψk,p(α,θ) with the maximum possible value of subscript p are calculated on examples of the coefficients with 5≤k≤10. The presented technique makes it possible to calculate such angular coefficients for any arbitrarily large k. The mentioned coefficients being leading in the logarithmic power series representing the Fock expansion, they may be indispensable for the development of simple methods for calculating the helium-like electronic structure. The theoretical results obtained are verified by other suitable methods. The Wolfram Mathematica is used extensively.

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“…[1] and also Ref. [15], Section For even k and maximum value of p = k/2, the RHS h k,k/2 of the FRR (3) equals zero. This implies that the GF formula (159) cannot be applied in this case.…”

Section: Resultsmentioning

confidence: 92%