A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics
arXiv:0706.1486 · doi:10.1103/PhysRevA.76.052104
Abstract
We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles like electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The model is derived from the QED Hamiltonian in Coulomb gauge neglecting the photon field. All our results are non-perturbative and mathematically rigorous.
18 pages, 3 figures
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- Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields
- Renormalization and asymptotic expansion of Dirac's polarized vacuum
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- Ground state properties of graphene in Hartree-Fock theory
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- Effective quantum electrodynamics: One-dimensional model of the relativistic hydrogen-like atom
- Existence of minimizers for the Dirac-Fock model of crystals
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- Relativistic density-functional theory based on effective quantum electrodynamics