On a second Lax structure for the Calogero-Moser system: time-dependent constants and superintegrability
From MaRDI portal
Publication:2644134
DOI10.1016/S0375-9601(00)00629-0zbMath1119.37321MaRDI QIDQ2644134
Publication date: 7 September 2007
Published in: Physics Letters. A (Search for Journal in Brave)
integrabilityLax equationssuperintegrable systemstime-dependent constants of motionnonlinear constants of motion
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
Cites Work
- Unnamed Item
- Unnamed Item
- Three integrable Hamiltonian systems connected with isospectral deformations
- The propagator of the Calogero-Moser system in an external quadratic potential
- Classical superintegrable \(SO(p,q)\) Hamiltonian systems
- The symplectic structure of the spin Calogero model
- A note on superintegrability of the quantum Calogero model.
- Lax formalism for a family of integrable Calogero-Moser related \(n\)-particle systems
- Hidden symmetry of the quantum Calogero-Moser system
- Higher-order Noether symmetries and constants of the motion
- Dynamical symmetries, non-Cartan symmetries and superintegrability of then-dimensional harmonic oscillator
- Symmetries of Toda equations
- On the master symmetries and bi-Hamiltonian structure of the Toda lattice
- Integrability of difference Calogero–Moser systems
- Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach
- Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2
- Superintegrability of the Calogero–Moser system: Constants of motion, master symmetries, and time-dependent symmetries
- On the superintegrability of Calogero-Moser-Sutherland model
- On the two-gap locus for the elliptic Calogero-Moser model
- A modified modified Korteweg-de Vries equation
