Completely integrable one-dimensional classical and relativistic time-dependent Hamiltonians

DOI10.1007/BF01017045zbMath0851.58018OpenAlexW2071054123MaRDI QIDQ1918833

S. Bouquet

Publication date: 3 September 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017045

zbMATH Keywords

Hamiltoniansclassicalcompletely integrablerelativistictime dependent one-dimensional

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

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• Rational functions of momentum as invariants for one-dimensional, time-dependent potentials: Basic theory
• A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
• First integrals for some nonlinear time-dependent Hamiltonian systems
• Generalizations of Noether’s Theorem in Classical Mechanics
• Representations of one-dimensional Hamiltonians in terms of their invariants
• One-dimensional nonautonomous dynamical systems with exact transcendental invariants
• Invariant variation problems
• First integrals and symmetries of time-dependent Hamiltonian systems