Generalized canonical transformations for time-dependent systems

DOI10.1063/1.525672zbMath0548.70010OpenAlexW2068087318MaRDI QIDQ3340223

José F. Cariñena, Luis A. Ibort, Manuel Asorey

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525672

zbMATH Keywords

Hamilton-Jacobi equationcanonical transformationHamiltonian dynamical systems

Mathematics Subject Classification ID

Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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Cites Work

• A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
• Non-Noether constants of motion
• The complete symmetry group of a forced harmonic oscillator
• Theory of nonbijective canonical transformations in mechanics: Application to the Coulomb problem