Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-14
Int.J.Mod.Phys. A16 (2001) 3365-3478
Physics
High Energy Physics
High Energy Physics - Theory
102 pages, revtex file
Scientific paper
10.1142/S0217751X0100430X
In the semiclassical approximation of Grassmann-valued electric charges for regularizing Coulomb self-energies, we extract the unique acceleration-independent interaction hidden in any Lienard-Wiechert solution for the system of N positive-energy spinning particles plus the electromagnetic field in the radiation gauge of the rest-frame instant form. With the help of a semiclassical Foldy-Wouthuysen transformation, this allows us to find the relativistic semiclassical Darwin potential. In the 2-body case the quantization of the lowest order reproduces exactly the results from the reduction of the Bethe-Salpeter equation.
Alba David
Crater Horace
Lusanna Luca
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