dorsal/arxiv
View SchemaHelium Multiplet Structure in Relativistic Schr\"odinger Theory
| Authors | R. Graebeldinger, T. Beck, M. Mattes, M. Sorg |
|---|---|
| Categories | |
| ArXiv ID | physics/0602087 |
| URL | https://arxiv.org/abs/physics/0602087 |
Abstract
The emergence of a multiplet structure of the helium-like ions is studied within Relativistic Schr\"odinger 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 $\Delta E_{1\backslash 2}$ 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
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"abstract": "The emergence of a multiplet structure of the helium-like ions is studied\nwithin Relativistic Schr\\\"odinger Theory (RST), a fluid-dynamic approach to the\nrelativistic quantum theory of the many-particle systems. The fluid-dynamic\ncharacter of RST demands to specify the electronic current densities $\\jmu$ for\nany $N$-particle configuration which is exemplified here by considering the\nhelium singlet (${}^1S_0$) and triplet (${}^3S_1$) states in great detail.\nSince the use of densities in RST is based upon the concept of wave functions,\nthe new theory appears as a certain kind of (relativistic) unification of the\nconventional wave function formalism and the density functional theory, which\nboth are the most prominent theoretical tools in atomic and molecular physics.\nAs a demonstration of the practical usefulness of RST, the energy difference\n$\\Delta E_{1\\backslash 2}$ of the helium singlet states $2s^2 {}^1S_0$ and\n$1s^2 {}^1S_0$ is calculated for a large range of nuclear charge numbers\n$z_{ex}$ ($2\\leq z_{ex}\\leq 100$), whereas the corresponding experimental\nvalues are available only up to $z_{ex}=42$ (molybdenum). The deviations of\nthese RST results from the observational data is less than $0,3",
"arxiv_id": "physics/0602087",
"authors": [
"R. Graebeldinger",
"T. Beck",
"M. Mattes",
"M. Sorg"
],
"categories": [
"physics.atom-ph"
],
"title": "Helium Multiplet Structure in Relativistic Schr\\\"odinger Theory",
"url": "https://arxiv.org/abs/physics/0602087"
},
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