Representations of one-dimensional Hamiltonians in terms of their invariants

DOI10.1063/1.529794zbMath0746.70013OpenAlexW2005079305MaRDI QIDQ3992002

S. Bouquet, H. Ralph Lewis, Marc R. Feix, Peter G. L. Leach

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529794

zbMATH Keywords

integrable systemstime-dependent potentialcanonically conjugate functionsparticular function

Mathematics Subject Classification ID

Hamilton's equations (70H05) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

Search for first integrals in relativistic time-dependent Hamiltonian systems, Completely integrable one-dimensional classical and relativistic time-dependent Hamiltonians, Hamiltonian structure and integrability of the stationary Kuramoto–Sivashinsky equation, Lax formalism for a family of integrable Toda-related n-particle systems, Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach, Symbolic computation of approximate symmetries for ordinary differential equations, Extension of Giacomini’s results concerning invariants for one-dimensional time-dependent potentials, A second invariant for one-degree-of-freedom, time-dependent Hamiltonians given a first invariant, First integrals and symmetries of time-dependent Hamiltonian systems

Cites Work

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