Boundary effects on the magnetic Hamiltonian dynamics in two dimensions
Tho Nguyen Duc, Nicolas Raymond, San Vu Ngoc
TL;DR
This paper investigates how boundary conditions and magnetic field configurations influence the confinement and scattering behavior of a charged particle in a two-dimensional magnetic domain.
Contribution
It establishes boundary conditions for particle confinement and derives a scattering angle formula for radial magnetic fields in 2D domains.
Findings
Conditions for particle confinement near boundaries.
Explicit scattering angle formula for radial magnetic fields.
Insights into magnetic Hamiltonian dynamics in bounded domains.
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.
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