Journal ArticleDOI
A simple O(4,2) approximation of hydrogenic coulomb integrals
Carl E. Wulfman,Sukeyuki Kumei +1 more
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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).About:
This article is published in Chemical Physics Letters.The article was published on 1973-12-01. It has received 23 citations till now. The article focuses on the topics: Lie group & Quantum number.read more
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Approximated dynamical symmetry of two-electron atoms
TL;DR: 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.
Journal ArticleDOI
Saddle structure of the three-body Coulomb problem; symmetries of doubly-excited states and propensity rules for transitions
Jan M. Rost,Josephine P. Briggs +1 more
TL;DR: In this paper, a new quasi-degeneracy between molecular orbitals (MO) is identified, and the saddle structure of the potential saddle is investigated with an emphasis on the saddle structures of its potential.
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Spatial correlation of atomic electrons: He
TL;DR: In this article, the angular dependence of two-electron wave functions is analyzed in terms of the resulting three-coordinate function, with specific application to a number of wave functions for doubly-excited helium atoms.
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The nodal structure of doubly-excited resonant states of helium
TL;DR: In this paper, the nodal structure of accurate helium wavefunctions calculated by direct diagonalization of the full six-dimensional problem is examined, and it is shown that for fixed interelectronic distance R (or hyperspherical radius R) the symmetric doubly-excited resonant states have well defined lambda, mu nodal structures indicating a near separability in prolate spheroidal coordinates.
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How good is Niels Bohr's atomic model?
TL;DR: The history and evidence for these two extreme paradigms are presented and some of the potentially observable consequences are discussed briefly in this article, where the authors discuss the potential consequences of the collective quantization of atomic valence shells containing two electrons.
References
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Algebraic treatment of quantum-mechanical models with modified Coulomb potentials
TL;DR: In this article, an algebraic method for the Dirac and Klein-Gordon relativistic hydrogen atom with modified Coulomb potentials with rotationally symmetric (4,2) dynamical group was proposed.
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