The nodal structure of doubly-excited resonant states of helium

Rost, Jan M.; Gersbacher, Rolf; Richter, Klaus; Briggs, J S; Wintgen, Dieter

doi:10.1088/0953-4075/24/10/004

Cited by 57 publications

(23 citation statements)

References 35 publications

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“…In a somehow different approach, Rost et al [20] presented a physical interpretation in terms of the nodes of the approximate resonance wave-function, identifying υ as the number of molecular elliptical nodes, derived from a molecular orbital description. This number has been also used by other authors in order to make an interpretative description of the complicated structure of the spectra of doubly excited states [21], and also in order to explain regularities in the photoionization cross section in their energy range and the possibility of their efficient photoexcitation [22,23].…”

Section: The Ft Schemementioning

confidence: 99%

High-lying doubly excited states of He and H−: electron correlations and classification schemes

Themelis

2005

Open Physics

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High-lying doubly excited states of He and H − are studied and energies and intrinsic characteristics of their wave-functions are reported. Results for energies of 3 P o and 1 D doubly excited states associated with the hydrogenic thresholds up to N = 20 are presented and compared to available data from the literature. The classification of these doubly excited states by approximate quantum numbers is reexamined.

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Section: The Ft Schemementioning

confidence: 99%

High-lying doubly excited states of He and H−: electron correlations and classification schemes

Themelis

2005

Open Physics

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“…Ezra et al (13) developed a semiclassical treatment of the radial motion of a collinear atom, and found evidence for radial motions that can be described as an anti-symmetric stretch. Rost et al (14,15) gave a unified ''molecular orbital'' treatment of the radial, bending, and rotational motion. They found an intricate interweaving of bend and stretch excitations.…”

Section: The Molecular Atom: Rotations Vibrations and Supermultipletsmentioning

confidence: 99%

Symmetry in chemistry from the hydrogen atom to proteins

Kellman

1996

Proc. Natl. Acad. Sci. U.S.A.

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The last 2 decades have seen discoveries in highly excited states of atoms and molecules of phenomena that are qualitatively different from the ''planetary'' model of the atom, and the near-rigid model of molecules, characteristic of these systems in their low-energy states. A unified view is emerging in terms of approximate dynamical symmetry principles. Highly excited states of two-electron atoms display ''molecular'' behavior of a nonrigid linear structure undergoing collective rotation and vibration. Highly excited states of molecules described in the ''standard molecular model'' display normal mode couplings, which induce bifurcations on the route to molecular chaos. New approaches such as rigidnonrigid correlation, vibrons, and quantum groups suggest a unified view of collective electronic motion in atoms and nuclear motion in molecules.Chemical systems range from relatively simple atoms to large and complex mesoscopic structures such as proteins. This is the microscopic substructure that explains, at least in a reductive sense, the appearance and behavior of the world of our ordinary experience and its living beings. As such, the chemical world occupies an intermediate size in nature between the very large and very small. There is a rough hierarchy of scales of organization in nature, each admitting a description in terms of relatively independent concepts and theories. Central to most of these are various ideas of ''symmetry'' that come into play at the different scales.My purpose is to give an indication of a unified view of novel kinds of symmetry in chemical systems that is emerging from the work of many people over the past 2 decades. This view goes well beyond the traditional notions of chemical symmetry. These have to do on the one hand with orderly arrays of atoms in molecules or crystals, and on the other, with the ''planetary'' or independent particle model of electron motion in atoms and molecules. This usual kind of symmetry is most pronounced at low energy. The new view has emerged in response to an explosion of interest in highly excited quantum states of atoms and molecules. This is fueled on the one hand by advances in experimental technology, especially laser systems, and on the other, by the importance of highly excited chemical species in many aspects of science and technology carried out in extreme environments, including combustion, atmospheric, and interstellar phenomena.

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“…Hence one obtains an approximate separation of the two-electron problem. The accuracy of this approximation has been explicitly demonstrated at D=3 by a recent analysis by Rost et al [126] of wave functions from an accurate diagonalization of the full two-electron problem. For states with parity ?=(&1) L at D=3, Rost et al [84] have generalized this approach to D dimensions, from which approximate interdimensional degeneracies between the ?=(&1) L states, noted earlier in Refs.…”

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confidence: 92%

“…Rost et al [84] have explored some of the implications of dimensional scaling for the Molecular Orbital (MO) description of doubly-excited states of two electron atoms [125,126]. The MO description postulates that the rotational and internal degrees of freedom are approximately separable.…”

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confidence: 99%