Continuity of scattering data for particles on the line with directed repulsive interactions

DOI10.1063/1.527666zbMath0628.70007OpenAlexW2017173804MaRDI QIDQ3765281

Eugene Gutkin

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527666

zbMATH Keywords

scattering datarepulsive forcesnonempty open set of initial data

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) (n)-body problems (70F10) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (11)

Asymptotics of trajectories for Newtonian dynamics with directed force ⋮ Analytic integrability for a class of cone potential Hamiltonian systems ⋮ Reducing scattering problems under cone potentials to normal form by global canonical transformations ⋮ Regularity of the scattering trajectories in classical mechanics ⋮ Escape to infinity in the presence of magnetic fields ⋮ Integrability of a system of \(N\) electrons subjected to Coulombian interactions ⋮ Classical n-body scattering with long-range potentials ⋮ Unbounded trajectories of dynamical systems. ⋮ Billiard dynamics: An updated survey with the emphasis on open problems ⋮ Complete integrability for Hamiltonian systems with a cone potential ⋮ A class of C^∞-integrable Hamiltonian systems

Cites Work

• Asymptotic behaviour of particle motion under repulsive forces
• Integrable Hamiltonians with exponential potential
• Asymptotics of trajectories for cone potentials
• Billiards in polygons

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