Journal ArticleDOI
Approximated dynamical symmetry of two-electron atoms
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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.About:
This article is published in Chemical Physics Letters.The article was published on 1973-12-01. It has received 96 citations till now.read more
Citations
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Geometrical interpretation of doubly excited states
Klaus Mølmer,K Taulbjerg +1 more
TL;DR: In this article, the theory of doubly excited atomic states is analyzed with particular focus on the physical nature of level structure previously identified by group theoretical methods, and an explicit factorisation in terms of external rotational and independent intrinsic parts provides a direct identification of the quantum numbers K and T commonly used to characterise correlation patterns of atomic states.
Journal ArticleDOI
Vibrational Spectroscopy of Stretching and Bending Modes of Nickel Tetraphenyl Porphyrin: an Algebraic Approach
TL;DR: In this article, the vibrational frequencies of nickel tetraphenyl porphyrin for 36 vibrational bands were calculated using the U(2) algebraic approach and the algebraic parameters in the calculations were accurate with the experimental data.
Journal ArticleDOI
Adiabatic coordinate separation and large N‐dimensional limit in two‐electron ions
TL;DR: In this article, the 1/N expansion is used to generate semiclassical effective potentials for two-electron ions, which can be considered an improvement over the conventional ones computed by Lin and Fano for the full coulomb potential insofar as they incorporate some of the quantum mechanical effects.
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
J. Cooper,Ugo Fano,F. Prats +2 more
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.)
Journal ArticleDOI
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.
Journal ArticleDOI
Close-Coupling Calculations of Electron-Impact Excitation of the 2s State and Autoionization Below the n=3 Level in He +
Journal ArticleDOI
A simple O(4,2) approximation of hydrogenic coulomb integrals
Carl E. Wulfman,Sukeyuki Kumei +1 more
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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