Linearity of minimally superintegrable systems in a static electromagnetic field
DOI10.1088/1751-8121/acde22OpenAlexW4380445973MaRDI QIDQ6110041
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Publication date: 4 July 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8121/acde22
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Motion of charged particles (78A35) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Electro- and magnetostatics (78A30)
Cites Work
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- Superintegrable oscillator and Kepler systems on spaces of nonconstant curvature via the Stäckel transform
- On algebraic construction of certain integrable and super-integrable systems
- Equivalence classes of second-order ordinary differential equations with only a three-dimensional Lie algebra of point symmetries and linearisation.
- On the extended-Hamiltonian structure of certain superintegrable systems on constant-curvature Riemannian and pseudo-Riemannian surfaces
- Classical superintegrable systems in a magnetic field that separate in Cartesian coordinates
- Superintegrable Hamiltonian systems: Geometry and perturbations
- The harmony in the Kepler and related problems
- Classical and quantum superintegrability with applications
- Are all classical superintegrable systems in two-dimensional space linearizable?
- A nonseparable quantum superintegrable system in 2D real Euclidean space
- Liouville integrability of Hamiltonian systems on Lie algebras
- Three-dimensional superintegrable systems in a static electromagnetic field
- Bertrand spacetimes as Kepler/oscillator potentials
- An infinite family of solvable and integrable quantum systems on a plane
- A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
- Superintegrable systems in Darboux spaces
- Lie symmetries and superintegrability
- Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables
- Superintegrable systems in non-Euclidean plane: Hidden symmetries leading to linearity
- On rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals
- Maximally superintegrable systems in flat three-dimensional space are linearizable
- Superintegrability and time-dependent integrals
- The complete Kepler group can be derived by Lie group analysis
- Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems
- Superintegrability of the caged anisotropic oscillator
- On superintegrability of 3D axially-symmetric non-subgroup-type systems with magnetic fields
- Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems
- On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
- Minimally superintegrable systems in flat three-dimensional space are also linearizable
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