Integrability of a system of \(N\) electrons subjected to Coulombian interactions

DOI10.1006/jdeq.1996.3171zbMath0878.58051OpenAlexW2466177486MaRDI QIDQ678598

Giorgio Fusco, Waldyr Muniz Oliva

Publication date: 27 April 1997

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1996.3171

zbMATH Keywords

asymptotic velocityLiouville integrability\(N\) electron system

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Motion of charged particles (78A35)

Related Items (5)

Escape to infinity in the presence of magnetic fields ⋮ Geometric properties of the scattering map of a normally hyperbolic invariant manifold ⋮ Classical n-body scattering with long-range potentials ⋮ Unbounded trajectories of dynamical systems. ⋮ Symmetry and bifurcations of planar configurations of the N-body and other problems

Cites Work

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• Complete integrability for Hamiltonian systems with a cone potential
• A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
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• Asymptotics of trajectories for cone potentials
• Classical scattering theory in one dimension
• Analytic integrability for a class of cone potential Hamiltonian systems
• Reducing scattering problems under cone potentials to normal form by global canonical transformations
• Continuity of scattering data for particles on the line with directed repulsive interactions
• A class of C^∞-integrable Hamiltonian systems

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