Classical Billiards in a Magnetic Field and a Potential

N. Berglund
Nonlinear Phenomena in Complex Systems 3, 61-70 (2000)

Proceedings of the 3rd International Summer School/Conference in Maribor, Slovenia, 24 June -- 6 July, 1996.

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.

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