JournalslemVol. 64, No. 3/4pp. 353–369

Boundary effects on the magnetic Hamiltonian dynamics in two dimensions

  • Duc Thọ Nguyen

    Université de Rennes I, France

  • Nicolas Raymond

    Université d'Angers, France

  • San Vũ Ngọc

    Université de Rennes I, France
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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.

Cite this article

Duc Thọ Nguyen, Nicolas Raymond, San Vũ Ngọc, Boundary effects on the magnetic Hamiltonian dynamics in two dimensions. Enseign. Math. 64 (2018), no. 3/4, pp. 353–369

DOI 10.4171/LEM/64-3/4-7