The Hamiltonian dynamics of magnetic confinement in toroidal domains

DOI10.2140/pjm.2020.304.613OpenAlexW3099009126MaRDI QIDQ2305507

Gabriel Martins

Publication date: 11 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05388

zbMATH Keywords

completenessmanifolds with boundarymagnetic confinementmagnetic flowtoroidal domains

Mathematics Subject Classification ID

Motion of charged particles (78A35) Geodesic flows in symplectic geometry and contact geometry (53D25) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (3)

Normal forms for strong magnetic systems on surfaces: trapping regions and rigidity of Zoll systems ⋮ Killing submersions and magnetic curves ⋮ Magnetic Jacobi fields in 3-dimensional Sasakian space forms

Cites Work

• Unnamed Item
• Symplectic and Poisson geometry on \( b\)-manifolds
• Confining quantum particles with a purely magnetic field
• Hearing the zero locus of a magnetic field
• On fibering certain foliated manifolds over \(S^1\)
• The Hamiltonian dynamics of planar magnetic confinement
• Examples and counter-examples of log-symplectic manifolds
• The motion of a charged particle on a Riemannian surface under a non-zero magnetic field

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