Exact two-particle eigenstates in partially reduced QED

Details Exact two-particle eigenstates in partially reduced QED Exact two-particle eigenstates in partially reduced QED

2002-04-02

arxiv.org/abs/nucl-th/0204006v2

Phys.Rev.A66:032102,2002

Physics

Nuclear Physics

Nuclear Theory

33 pages, LaTex 2.09, 4 figures in EPS format

Scientific paper

10.1103/PhysRevA.66.032102

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.

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