Boundary effects on the magnetic Hamiltonian dynamics in two dimensions
Dynamical Systems
2021-04-02 v1
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.
Keywords
Cite
@article{arxiv.1806.05395,
title = {Boundary effects on the magnetic Hamiltonian dynamics in two dimensions},
author = {Tho Nguyen Duc and Nicolas Raymond and San Vu Ngoc},
journal= {arXiv preprint arXiv:1806.05395},
year = {2021}
}