Boundary effects on the magnetic Hamiltonian dynamics in two dimensions

Tho Nguyen Duc (1) , Nicolas Raymond (1) , San Vu Ngoc (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Domaines: Mathématiques [math]; Systèmes dynamiques [math.DS]

Tho Nguyen Duc, Nicolas Raymond, San Vu Ngoc. Boundary effects on the magnetic Hamiltonian dynamics in two dimensions. L'Enseignement Mathématique , 2019, 64 (3-4), pp.353-369. ⟨10.4171/LEM/64-3/4-7⟩. ⟨hal-01797997⟩