An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families
From MaRDI portal
Publication:5354900
DOI10.1063/1.4996581zbMath1411.37053arXiv1710.01750OpenAlexW2740827512WikidataQ114104039 ScholiaQ114104039MaRDI QIDQ5354900
Publication date: 5 September 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.01750
Related Items (3)
Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction” ⋮ Examples of Hamiltonians isochronous in configuration space only and their quantization ⋮ Erratum: “An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families” [J. Math. Phys. 58, 072902 (2017)]
Cites Work
- Unnamed Item
- Unnamed Item
- Haantjes structures for the Jacobi-Calogero model and the Benenti systems
- A new class of integrable systems and its relation to solitons
- Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables
- Quasi-bi-Hamiltonian systems and separability
- Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time
- On separability of bi-Hamiltonian chain with degenerated Poisson structures
- A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic
- Calogero's goldfish is indeed a school of free particles
- Properties of the Zeros of the Sum of two Polynomials
- Quantizing preserving Noether symmetries
- The neatest many-body problem amenable to exact treatments (a ``goldfish?)
This page was built for publication: An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families