Classical scattering theory in one dimension

DOI10.1007/BF01238807zbMath0675.34016MaRDI QIDQ1122049

Andrea Hubacher

Publication date: 1989

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

zbMATH Keywords

scattering propertiesasymptotic velocities

Mathematics Subject Classification ID

Hamilton's equations (70H05) Ordinary differential operators (34L99)

Related Items (6)

Regularity of the scattering trajectories in classical mechanics ⋮ Using scattering theory to compute invariant manifolds and numerical results for the laser-driven Hénon-Heiles system ⋮ Escape to infinity in the presence of magnetic fields ⋮ Integrability of a system of \(N\) electrons subjected to Coulombian interactions ⋮ Geometric properties of the scattering map of a normally hyperbolic invariant manifold ⋮ Unbounded trajectories of dynamical systems.

Cites Work

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• Asymptotic behaviour of particle motion under repulsive forces
• On the description of classical reflectionless potentials
• Regularity of the scattering trajectories in classical mechanics
• Three integrable Hamiltonian systems connected with isospectral deformations
• Classical scattering with long range forces
• The S-matrix in classical mechanics
• Wave operators for classical particle scattering
• Asymptotic velocities in classical mechanics
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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