Jg. Cordes, NONRELATIVISTIC CALCULATION OF THE RADIATION EMITTED BY A PAIR OF IDENTICAL PARTICLES, American journal of physics, 62(3), 1994, pp. 251-254
The calculation of the electromagnetic radiation produced by a pair of
nonrelativistic charged particles presents an interesting difficulty
in the case where the net dipole moment of the system vanishes. One ap
parently attractive method of solution fails dramatically for the clas
sic problem of two electrons in relative circular motion. The reason f
or the failure is explained, for this and other systems.