Helium Multiplet Structure in Relativistic Schrödinger Theory

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dc.creatorGraebeldinger, R.
dc.creatorBeck, T.
dc.creatorMattes, M.
dc.creatorSorg, M.
dc.date2006-02-13
dc.date.accessioned2026-07-07T07:04:05Z
dc.date.available2026-07-07T07:04:05Z
dc.descriptionThe emergence of a multiplet structure of the helium-like ions is studied within Relativistic Schrödinger Theory (RST), a fluid-dynamic approach to the relativistic quantum theory of the many-particle systems. The fluid-dynamic character of RST demands to specify the electronic current densities $\jmu$ for any $N$-particle configuration which is exemplified here by considering the helium singlet (${}^1S_0$) and triplet (${}^3S_1$) states in great detail. Since the use of densities in RST is based upon the concept of wave functions, the new theory appears as a certain kind of (relativistic) unification of the conventional wave function formalism and the density functional theory, which both are the most prominent theoretical tools in atomic and molecular physics. As a demonstration of the practical usefulness of RST, the energy difference $ΔE_{1\backslash 2}$ of the helium singlet states $2s^2 {}^1S_0$ and $1s^2 {}^1S_0$ is calculated for a large range of nuclear charge numbers $z_{ex}$ ($2\leq z_{ex}\leq 100$), whereas the corresponding experimental values are available only up to $z_{ex}=42$ (molybdenum). The deviations of these RST results from the observational data is less than $0,3
dc.description84 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/physics/0602087
dc.identifierhttp://arxiv.org/abs/physics/0602087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109228
dc.subjectAtomic Physics
dc.titleHelium Multiplet Structure in Relativistic Schrödinger Theory
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