Upper and lower bounds for ground-state energies in the helium isoelectronic sequence

M. A. Abdel-Raouf

doi:10.1016/0378-4363(79)90011-1

Upper and lower bounds for ground-state energies in the helium isoelectronic sequence

M. A. Abdel-Raouf

Department of Physics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The formula of Rayleigh [1] and Ritz [2] is used for determining upper bounds for E₀'s, E₁'s and E₂'s of nine members of the helium isoelectronic sequence. A rough estimation for the lower bounds of E₀'s is carried out using Temple's relation [3]. The calculations show that a 50-dimensional expansion space can be adjusted to obtain results in good agreement with those of other authors and to confine the exact E₀'s in gaps of the order of 10^-5.

Original language	English
Pages (from-to)	103-106
Number of pages	4
Journal	Physica B+C
Volume	97
Issue number	1
DOIs	https://doi.org/10.1016/0378-4363(79)90011-1
Publication status	Published - Jul 1979

ASJC Scopus subject areas

Engineering(all)

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abstract = "The formula of Rayleigh [1] and Ritz [2] is used for determining upper bounds for E0's, E1's and E2's of nine members of the helium isoelectronic sequence. A rough estimation for the lower bounds of E0's is carried out using Temple's relation [3]. The calculations show that a 50-dimensional expansion space can be adjusted to obtain results in good agreement with those of other authors and to confine the exact E0's in gaps of the order of 10-5.",

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AB - The formula of Rayleigh [1] and Ritz [2] is used for determining upper bounds for E0's, E1's and E2's of nine members of the helium isoelectronic sequence. A rough estimation for the lower bounds of E0's is carried out using Temple's relation [3]. The calculations show that a 50-dimensional expansion space can be adjusted to obtain results in good agreement with those of other authors and to confine the exact E0's in gaps of the order of 10-5.

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Upper and lower bounds for ground-state energies in the helium isoelectronic sequence

Abstract

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