Reducing scattering problems under cone potentials to normal form by global canonical transformations

DOI10.1016/0022-0396(90)90109-3zbMath0724.34093arXiv1204.1640OpenAlexW2962801509MaRDI QIDQ2644840

Gianluca Gorni, Gaetano Zampieri

Publication date: 1990

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

Full work available at URL: https://arxiv.org/abs/1204.1640

zbMATH Keywords

Hamiltonian systemsHamiltonian scattering systemsasymptotic phasescone potentialglobal canonical transformation

Mathematics Subject Classification ID

Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (2)

Analytic integrability for a class of cone potential Hamiltonian systems ⋮ Integrability of a system of \(N\) electrons subjected to Coulombian interactions

Cites Work

• Unnamed Item
• Complete integrability for Hamiltonian systems with a cone potential
• Integrable Hamiltonians with exponential potential
• Asymptotics of trajectories for cone potentials
• Regularity of the scattering trajectories in classical mechanics
• Continuity of scattering data for particles on the line with directed repulsive interactions
• A class of C^∞-integrable Hamiltonian systems

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