Two-dimensional time-dependent Hamiltonian systems with an exact invariant
From MaRDI portal
Publication:3691114
DOI10.1063/1.526410zbMath0573.70006OpenAlexW2076802099MaRDI QIDQ3691114
Bernadette Dorizzi, Basile Grammaticos
Publication date: 1984
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526410
two degrees of freedomtime-dependent potentialcomplex valued potentialcomplex valued integralfirst integral which is linear or quadratic in the velocities
Related Items
Comment on an aspect of a paper by G. Thompson ⋮ Classical and quantum integrability for a class of potentials in two dimensions. ⋮ Canonical formulation for a non-relativistic spinning particle coupled to gravity ⋮ Generalised Symmetries and the Ermakov-Lewis Invariant ⋮ Single resonance integrals for two-dimensional Hamiltonians ⋮ Dynamical symmetries and the Ermakov invariant ⋮ First integrals versus configurational invariants and a weak form of complete integrability
Cites Work
- A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
- Nonlinear superposition, higher-order nonlinear equations, and classical linear invariants
- Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
- An application of Ray–Reid invariants
- Noether’s theorem, time-dependent invariants and nonlinear equations of motion
- Classification scheme for two-dimensional Ermakov-type systems and generalizations
- Ermakov systems, velocity dependent potentials, and nonlinear superposition
- On a Generalization of the Lewis Invariant for the Time-Dependent Harmonic Oscillator
- Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
- Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
This page was built for publication: Two-dimensional time-dependent Hamiltonian systems with an exact invariant
