can charged particles self-oscillate?
Time to return to my long-delayed series of posts on the history of invisibility physics! The first two posts were: • Acceleration without radiation (1910), describing Ehrenfest’s arguments suggesting acceleration without radiation could be possible, • Schott’s radiationless orbits (1933), describing G.A. Schott’s analytical demonstration that a charged spherical shell could move in a periodic orbit without producing radiation. Our next stop in the study of invisibility physics is a pair of results, one by G.A. Schott in 1937 and another by D. Bohm and M. Weinstein in 1948, in both of which it is suggested that under the right circumstances, not only can an extended charged particle oscillate without radiating, but that it can also oscillate under the influence of its own electromagnetic field, without the application of an external force! It is worth mentioning again the basic ideas behind these ‘radiationless orbits’, thanks to my long invisibility hiatus. It is well understood in th