dorsal/arxiv
View SchemaQuantum Electrodynamical Density-matrix Functional Theory and Group-theoretical Consideration of its Solution
| Authors | Tadafumi Ohsaku, Shusuke Yamanaka, Daisuke Yamaki, Kizashi Yamaguchi |
|---|---|
| Categories | |
| ArXiv ID | physics/0112088 |
| URL | https://arxiv.org/abs/physics/0112088 |
| Journal | Int.J.Quant.Chem. 90 (2002) 273 |
Abstract
For studying the group theoretical classification of the solutions of the density functional theory in relativistic framework, we propose quantum electrodynamical density-matrix functional theory (QED-DMFT). QED-DMFT gives the energy as a functional of a local one-body $4\times4$ matrix $Q(x)\equiv -<\psi(x)\bar{\psi}(x)>$, where $\psi$ and $\bar{\psi}$ are 4-component Dirac field and its Dirac conjugate, respectively. We examine some characters of QED-DMFT. After these preparations, by using Q(x), we classify the solutions of QED-DMFT under O(3) rotation, time reversal and spatial inversion. The behavior of Q(x) under nonrelativistic and ultrarelativistic limits are also presented. Finally, we give plans for several extensions and applications of QED-DMFT.
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"abstract": "For studying the group theoretical classification of the solutions of the\ndensity functional theory in relativistic framework, we propose quantum\nelectrodynamical density-matrix functional theory (QED-DMFT). QED-DMFT gives\nthe energy as a functional of a local one-body $4\\times4$ matrix $Q(x)\\equiv\n-\u003c\\psi(x)\\bar{\\psi}(x)\u003e$, where $\\psi$ and $\\bar{\\psi}$ are 4-component Dirac\nfield and its Dirac conjugate, respectively. We examine some characters of\nQED-DMFT. After these preparations, by using Q(x), we classify the solutions of\nQED-DMFT under O(3) rotation, time reversal and spatial inversion. The behavior\nof Q(x) under nonrelativistic and ultrarelativistic limits are also presented.\nFinally, we give plans for several extensions and applications of QED-DMFT.",
"arxiv_id": "physics/0112088",
"authors": [
"Tadafumi Ohsaku",
"Shusuke Yamanaka",
"Daisuke Yamaki",
"Kizashi Yamaguchi"
],
"categories": [
"physics.chem-ph",
"hep-ph",
"hep-th",
"nucl-th",
"physics.atom-ph"
],
"journal_ref": "Int.J.Quant.Chem. 90 (2002) 273",
"title": "Quantum Electrodynamical Density-matrix Functional Theory and Group-theoretical Consideration of its Solution",
"url": "https://arxiv.org/abs/physics/0112088"
},
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