Studies of the three body problem and, in particular, the Sun–Earth–Moon system, have stimulated an enormous number of advances in physics and mathematics, including the discovery of classical chaos. In this paper a microscopic analogy of the Sun-Earth-Moon system is studied -- the ionization of Rydberg atoms in microwave fields. A remarkable feature of this system is that the electron can follow highly erratic orbits before ionizing.
A comprehensive study of relevant invariant objects in phase is carried out for different system parameters. The consequences of our findings for ongoing experimental studies of the ionization of an electron by the external field are also discussed.
Read more...