Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apro13004t&link_type=abstract
American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As
Astronomy and Astrophysics
Astrophysics
Scientific paper
We consider a reformulation of QED in which covariant Green function are used to solve for the electromagnetic field in terms of the fermion fields. The resulting modified Hamiltonian contains the photon propagator directly. A simple Fock-state variational trial function is used to derive relativistic two-fermion equations variationaly from the expectation value of the Hamiltonian of the quantum field theory. We require the trial state to be an eigen-state of the square of the total relativistic angular momentum operator, its projection and parity. The interaction kernels of the equations are shown to be, in essence, the invariant M matrix in the lowest order. Solutions of the two-body equations are presented for positronium and muonium-like systems. For small coupling constants the fine structure up to the fourth order for all states and mass ratios is calculated. Comparison with results using other formalisms will be presented.
Darewych Jurij
Terekidi Andrei
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