Regularity of the scattering trajectories in classical mechanics

DOI10.1007/BF01218257zbMath0657.70018OpenAlexW2004086913MaRDI QIDQ1111046

Eugene Gutkin

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01218257

zbMATH Keywords

central, repulsive, pairwise interactionspolynomially decaying potentialsscattering trajectories

Mathematics Subject Classification ID

(n)-body problems (70F10) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (5)

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 ⋮ Classical scattering theory in one dimension ⋮ Asymptotic velocities in classical mechanics

Cites Work

• Asymptotic behaviour of particle motion under repulsive forces
• Integrable Hamiltonians with exponential potential
• Asymptotics of trajectories for cone potentials
• Asymptotics of trajectories for Newtonian dynamics with directed force
• Classical scattering theory in one dimension
• Three integrable Hamiltonian systems connected with isospectral deformations
• Continuity of scattering data for particles on the line with directed repulsive interactions

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