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Approximated dynamical symmetry of two-electron atoms

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TLDR
In this paper, the eigenstates of a new set of approximate constants of the motion of two-electron atoms are very nearly those obtained by diagnolizing 1/r ij within a complex.
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This article is published in Chemical Physics Letters.The article was published on 1973-12-01. It has received 96 citations till now.

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Electron correlation in doubly excited states of helium and extensions to beryllium and magnesium

TL;DR: In this paper, connections between the treatment of doubly excited states in He, using hyperspherical coordinates and the model of two particles on a sphere related to the use of dynamical group theory are established.
Journal ArticleDOI

Analysis of the projection of the total orbital angular momentum along the interelectronic axis for doubly excited states of atoms

Z Chen, +2 more
- 14 Jan 1992 - 
TL;DR: In this paper, the percentage of the projection (T) of the total orbital angular momentum L along the interelectronic axis for the 3l3l' and 3l4l' doubly excited states of two-electron atoms and ions are calculated using the configuration interaction method and the resulting wavefunctions are analysed in the body frame of the atom.
Journal ArticleDOI

Triply excited symmetric rotor states: l distributions

TL;DR: In this paper, the authors apply an accurate analytical ansatz to investigate the systematics of allowed terms and the distribution of one-electron angular momenta for highly correlated triply excited states in lithium or lithium-like ions.
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Systematic studies of the molecular properties of intrashell and intershell doubly excited states of C4+ and He

M Dunn, +2 more
- 14 Aug 1990 - 
TL;DR: In this article, the molecular properties of a large number of intrashell and intershell doubly excited states of C4+ and He were studied by comparing a number of expectation values using wavefunctions calculated by the truncated diagonalization method (TDM) and the group theoretic doubly-excited symmetry basis (DESB) functions.
Journal ArticleDOI

Configuration mixing within the.3s-3p subshell

TL;DR: In this paper, a recently discovered approximate N -electron constant of motion accurately determines configuration mixing due to interaction between electrons within the 3s, 3p hydrogenic subshell.
References
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Journal ArticleDOI

On a screening theory of atomic spectra

TL;DR: In this article, a theoretical scheme for describing atomic spectra is developed, which differs from the current one in three main ways: (i) the nuclear charge Z enters explicitly into all predictions made with the new scheme, and (ii) certain effects of configuration interaction are allowed for in the first approximation.
Journal ArticleDOI

Classification of Two-Electron Excitation Levels of Helium

TL;DR: In this article, a classification of the states that produce the autoionizing lines observed in spectra of He is considered, and properties of these states are discussed. (D.C.W.)
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Wigner Coefficients for the R4 Group and Some Applications

TL;DR: In this article, the R4 spherical harmonics and their properties are obtained as specializations of the general formulas, and their physical application to the problem of geometrizing the Coulomb field is briefly discussed.
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A simple O(4,2) approximation of hydrogenic coulomb integrals

TL;DR: In this article, Coulomb integrals for electrons with hydrogenic wavefunctions are expressed in terms of operations of the Lie algebra of the group O(4,2) × O( 4,2).
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