New classes of quadratically integrable systems in magnetic fields: the generalized cylindrical and spherical cases
From MaRDI portal
Publication:2691189
DOI10.1016/j.aop.2023.169264OpenAlexW4321764328MaRDI QIDQ2691189
Antonella Marchesiello, Ondřej Kubů, Libor Šnobl
Publication date: 29 March 2023
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.15305
magnetic fieldnon-separable(super)integrabilitygeneralized cylindricalgeneralized sphericalhelical undulator
Related Items (2)
Family of nonstandard integrable and superintegrable classical Hamiltonian systems in non-vanishing magnetic fields ⋮ Cylindrical first-order superintegrability with complex magnetic fields
Cites Work
- Unnamed Item
- An infinite family of maximally superintegrable systems in a magnetic field with higher order integrals
- Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry
- Classical superintegrable systems in a magnetic field that separate in Cartesian coordinates
- Block-separation of variables: a form of partial separation for natural Hamiltonians
- Variable separation for natural Hamiltonians with scalar and vector potentials on Riemannian manifolds
- Exact solvability of superintegrable systems
- Classical and quantum superintegrability with applications
- Quasiseparation of variables in the Schrödinger equation with a magnetic field
- Three-dimensional superintegrable systems in a static electromagnetic field
- Third-order superintegrable systems with potentials satisfying only nonlinear equations
- Subgroups of Lie groups and separation of variables
- The Group $O(4)$, Separation of Variables and the Hydrogen Atom
- Spherical type integrable classical systems in a magnetic field
- Integrable and superintegrable quantum systems in a magnetic field
- Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables
- Pairs of commuting quadratic elements in the universal enveloping algebra of Euclidean algebra and integrals of motion*
- Cylindrical type integrable classical systems in a magnetic field
- Superintegrable relativistic systems in spacetime-dependent background fields
- Classification and Identification of Lie Algebras
- Superintegrability of separable systems with magnetic field: the cylindrical case
This page was built for publication: New classes of quadratically integrable systems in magnetic fields: the generalized cylindrical and spherical cases
