Boundary effects on the magnetic Hamiltonian dynamics in two dimensions
arXiv:1806.05395 · doi:10.4171/LEM/64-3/4-7
Abstract
We study the Hamiltonian dynamics of a charged particle submitted to a pure magnetic field in a two-dimensional domain. We provide conditions on the magnetic field in a neighbourhood of the boundary to ensure the confinement of the particle. We also prove a formula for the scattering angle in the case of radial magnetic fields.