Triply excited states of three-electron atomic systems

Ahmed, Mohammed Riyaz; Lipsky, Lester

doi:10.1103/physreva.12.1176

Cited by 65 publications

(20 citation statements)

References 24 publications

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“…But, at that time, the theoretical results in the literature (Ahmed and Lipsky, 1975;Nicolaides and Beck, 1977;Safronova and Senashenko, 1978;Simons et al, 1979) were not able to identify these resonances. The proper identifications of these triply excited states were made a few years later using the saddle-point method .…”

Section: Triply Excited Three-electron Systemsmentioning

confidence: 84%

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Resonances in atomic photoionization

Chung

2004

Radiation Physics and Chemistry

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Section: Triply Excited Three-electron Systemsmentioning

confidence: 84%

“…Theory 1975 Ahmed and Lipsky (1975) 142.608 1977 Beck (1977) 141.7 1978 Safronova and Senashenko (1978) Saddle-point Method 142.27 1993 SST-MCHF (Piangos and Nicolaides, 1993) 142.37 1994…”

Section: Article In Pressmentioning

confidence: 99%

Resonances in atomic photoionization

Chung

2004

Radiation Physics and Chemistry

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“…Many of these predictions were verified by precise experiments [13,46,47]. Ahmed and Lipsky [48] used a large set of configurations that excluded both 1s orbitals to calculate energy levels for some triply excited states of He and its isoelectronic sequence. They devised a procedure that automatically sets up all the totally antisymmetric threeelectron wave functions for a given set of orbitals (n & 1 &, n 2lz, n 313 ) and calculates the matrix elements of the three-electron Hamiltonian using matrix elements already calculated for the two-electron case [49,50].…”

Section: Electronmentioning

confidence: 91%

“…The a; are the generalized fractional pa-rentage coefficients described in Ref. [48]. They make the linear combination fully antisymmetric in all variables.…”

Section: Methodsmentioning

confidence: 99%

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Three-electron systems with inner-shell vacancies

1992

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A computational method is described for obtaining inner-shell-vacancy states of three-electron atoms which combines a block-diagonalization procedure with generalized Feshbach projection operators applicable to systems with three or more electrons. Typically, the accuracy is about 1.5 parts per thousand (6E/E=1. 5 X10 '). The strength of the method is that it provides many energy levels for each Rydberg series. A quantum-defect analysis is then applied that identifies the members of each series and yields reliable quantum defects and series limits. The method is particularly important in symmetries for which multiple Rydberg series exist. The present work reports on P' states of three-electron systems with 3 Z 10, which are compared with other calculations. The energies of S' states of C'+ are also presented as an example requiring both the multielectron Feshbach projection operators and the quantum-defect analysis developed here. Four distinct Rydberg series are found for this case and their series limits obtained.PACS number(s): 32.30. -r, 32.80.Dz, 31.50.+ w, 31.20.Tz

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Density functional calculations on triply excited states of lithium isoelectronic sequence

Roy

Singh

Deb

1997

Int. J. Quant. Chem.

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ABSTRACT:Triply excited states of many-electron atomic systems are characterized by the presence of strong electron correlation, closeness to more than one threshold, and degeneracy with many continua; therefore, they offer unusual challenges to theoretical methodologies. In the present article, we computed with reasonable accuracy all the Ž 2 2 2 2 4 2 2 32 2 4 . ns2 intrashell triply excited states 2 s 2 p P; 2 s2 p D, P, P, S; and 2 p D, P, S of Ž . three-electron atomic systems Z s 2, 3, 4, 6, 8, 10 by using a density functional formalism developed recently in our laboratory, based on the nonvariational Harbola᎐Sahni exchange potential in conjunction with a parametrized local Wigner and Lee᎐Yang᎐Parr correlation potentials. Nonrelativistic energies and densities are obtained by solving a Kohn᎐Sham-type differential equation. The calculated results are compared with available 3 Ž 4 . 2 Ž 4 . experimental and other theoretical data. The 2 p S ª1s2p P transition wavelength for the isoelectronic series is also computed. The overall good agreement of our results with the literature data indicates the reliability of the present density functional methodology for excited states of many-electron systems.

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Triply excited states of three-electron atomic systems

Cited by 65 publications

References 24 publications

Resonances in atomic photoionization

Resonances in atomic photoionization

Three-electron systems with inner-shell vacancies

Density functional calculations on triply excited states of lithium isoelectronic sequence

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