Integrable Hamiltonians with exponential potential

DOI10.1016/0167-2789(85)90017-XzbMath0584.58024OpenAlexW1982425755MaRDI QIDQ1069526

Eugene Gutkin

Publication date: 1985

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(85)90017-x

zbMATH Keywords

Toda latticeasymptotically freecompletely integrable

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (13)

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 ⋮ Integrable many-body problems and functional equations ⋮ 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 ⋮ Continuity of scattering data for particles on the line with directed repulsive interactions ⋮ Integrability of a system of \(N\) electrons subjected to Coulombian interactions ⋮ Unbounded trajectories of dynamical systems. ⋮ Complete integrability for Hamiltonian systems with a cone potential ⋮ A class of C^∞-integrable Hamiltonian systems ⋮ Asymptotics of trajectories for cone potentials

Cites Work

• Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows
• The solution to a generalized Toda lattice and representation theory
• Reduction of Hamiltonian systems, affine Lie algebra, and Lax equations. II
• Linearization of Hamiltonian systems, Jacobi varieties and representation theory
• Completely integrable systems, Euclidean Lie algebras, and curves
• Systems of Toda type, inverse spectral problems, and representation theory
• Kowalewski's asymptotic method, Kac-Moody Lie algebras and regularization
• Classical and quantum-mechanical systems of Toda lattice type. I
• Three integrable Hamiltonian systems connected with isospectral deformations
• Liouville integrability of Hamiltonian systems on Lie algebras
• Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
• The Toda lattice. II. Existence of integrals
• Explicit solutions of classical generalized Toda models
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