Dynamical symmetries and the Ermakov invariant
From MaRDI portal
Publication:1594647
DOI10.1016/S0375-9601(00)00835-5zbMath0972.70026arXivmath-ph/0211038WikidataQ62038653 ScholiaQ62038653MaRDI QIDQ1594647
Publication date: 6 February 2001
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0211038
Quantum field theory; related classical field theories (81T99) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries and conservation laws in mechanics of particles and systems (70S10)
Related Items
On the Lie Symmetries of KeplerErmakov Systems, Analytic approximation to the harmonic oscillator equation with a sub-period time dependent parameter, Newton equation and Schrödinger equation for the harmonic oscillator with probability distributions in frequency, Perturbations of Lagrangian systems based on the preservation of subalgebras of Noether symmetries, Symmetries and conservation laws for the generalized n‐dimensional Ermakov system, Lie point symmetries for reduced Ermakov systems, General solutions of quantum mechanical equations of motion with time-dependent Hamiltonians: a Lie algebraic approach
Cites Work
- Unnamed Item
- Unnamed Item
- Construction of exact invariants for time-dependent classical dynamical systems
- On the Lie symmetries of a class of generalized Ermakov systems
- Invariants for Nonlinear Equations of Motion
- Rational Ermakov systems of Fuchsian type
- First integrals for some nonlinear time-dependent Hamiltonian systems
- Two-dimensional time-dependent Hamiltonian systems with an exact invariant
- Time-dependent invariants and quantum mechanics in two dimensions
- On the Lie symmetry algebra of a general ordinary differential equation
- Noether's theorem and exact invariants for time-dependent systems
- Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
- Noether’s theorem, time-dependent invariants and nonlinear equations of motion
- Generalizations of Noether’s Theorem in Classical Mechanics
- Dynamical Noether invariants for time-dependent nonlinear systems
- Kepler-Ermakov problems
- On the linearization of the generalized Ermakov systems
- On the Hamiltonian structure of Ermakov systems
- A note on generalization of the Lewis invariant and the Ermakov systems
- Noether symmetries for two-dimensional charged particle motion