Exact two-particle eigenstates in partially reduced QED
Nuclear Theory
2010-11-26 v2
Abstract
We consider a reformulation of QED in which covariant Green functions are used to solve for the electromagnetic field in terms of the fermion fields. It is shown that exact few-fermion eigenstates of the resulting Hamiltonian can be obtained in the canonical equal-time formalism for the case where there are no free photons. These eigenstates lead to two- and three-body Dirac-like equations with electromagnetic interactions. Perturbative and some numerical solutions of the two-body equations are presented for positronium and muonium-like systems, for various strengths of the coupling.
Cite
@article{arxiv.nucl-th/0204006,
title = {Exact two-particle eigenstates in partially reduced QED},
author = {Jurij W. Darewych and Askold Duviryak},
journal= {arXiv preprint arXiv:nucl-th/0204006},
year = {2010}
}
Comments
33 pages, LaTex 2.09, 4 figures in EPS format