dorsal/arxiv
View SchemaTheory of Quantum Electrodynamical Self-consistent Fields
| Authors | Tadafumi Ohsaku |
|---|---|
| Categories | |
| ArXiv ID | physics/0112087 |
| URL | https://arxiv.org/abs/physics/0112087 |
Abstract
To obtain the basis for combining various many-body techniques to QED in a consistent manner, we investigate the theory of quantum electrodynamical self-consistent fields. The reserch interest was born mainly of the electronic structure theory, thus we consider of atomic and moleculer systems as our main subjects. But the formalism is more fundamental. First, we derive the quantum electrodynamical Hartree-Fock theory by using the Green's function method. Then we construct a relativistic Hamiltonian written by creation-annihilation operators for electron and positron in a general form, and check that it reproduces the Hartree-Fock theory. We use this Hamiltonian to derive the time-dependent Hartree-Fock theory and random phase approximation, in the operator formalism. The relativistic Slater determinant of the Thouless parametrization is also used. Finally we discuss the applications and futher possible developments.
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"abstract": "To obtain the basis for combining various many-body techniques to QED in a\nconsistent manner, we investigate the theory of quantum electrodynamical\nself-consistent fields. The reserch interest was born mainly of the electronic\nstructure theory, thus we consider of atomic and moleculer systems as our main\nsubjects. But the formalism is more fundamental. First, we derive the quantum\nelectrodynamical Hartree-Fock theory by using the Green\u0027s function method. Then\nwe construct a relativistic Hamiltonian written by creation-annihilation\noperators for electron and positron in a general form, and check that it\nreproduces the Hartree-Fock theory. We use this Hamiltonian to derive the\ntime-dependent Hartree-Fock theory and random phase approximation, in the\noperator formalism. The relativistic Slater determinant of the Thouless\nparametrization is also used. Finally we discuss the applications and futher\npossible developments.",
"arxiv_id": "physics/0112087",
"authors": [
"Tadafumi Ohsaku"
],
"categories": [
"physics.atom-ph",
"hep-ph",
"hep-th",
"nucl-th"
],
"title": "Theory of Quantum Electrodynamical Self-consistent Fields",
"url": "https://arxiv.org/abs/physics/0112087"
},
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