- 01-210 J.-C. GUILLOT and J. ROBERT
- The multipolar Hamiltonian in Q.E.D for moving atoms and ions.
Jun 5, 01
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Abstract. In this note we establish a multipolar Hamiltonian in Q.E.D. for
an arbitrary system of moving charges.
The particular cases of 2 and 3 charges are considered together with
the Breit-Fermi Hamiltonian
for two fermions. A scaling analysis shows the perturbative character of the dipole approximation
of the multipolar Hamiltonian. The electric-dipole and magnetic-dipole
terms of the dilated Hamiltonian are of order 1 and 2 respectively
with respect to the fine structure constant.