Classical Billiards in a Magnetic Field and a Potential

Abstract

We study billiards in plane domains, with a perpendicular magnetic field and a potential. We give some results on periodic orbits, KAM tori and adiabatic invariants. We also prove the existence of bound states in a related scattering problem.

6 pages LaTeX, 4 ps figs, uses psfig.sty. Proceedings of the 3rd Summer School/Conference in Maribor, Slovenia, 1996, submitted to Open Systems and Information Dynamics. PS file also available at http://dpwww.epfl.ch/instituts/ipt/berglund.html