Higher rank Killing tensors and Calogero model
arXiv:1201.3085 · doi:10.1103/PhysRevD.85.085002
Abstract
(n+2)-dimensional Lorentzian spacetime which admits irreducible Killing tensors of rank up to n is constructed by applying the Eisenhart lift to the Calogero model.
V2: 12 pages, discussion extended, presentation improved, references added. The version to appear in PRD
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Cited by in corpus (19)
- Black holes, hidden symmetries, and complete integrability
- Hidden Symmetries of Dynamics in Classical and Quantum Physics
- The Eisenhart lift: a didactical introduction of modern geometrical concepts from Hamiltonian dynamics
- Generalised Eisenhart lift of the Toda chain
- Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability
- Killing tensors and canonical geometry
- Hidden symmetries of Eisenhart-Duval lift metrics and the Dirac equation with flux
- Conformal Killing Tensors and covariant Hamiltonian Dynamics
- Ricci-flat spacetimes admitting higher rank Killing tensors
- Eisenhart lift for higher derivative systems
- Geometry of Lax pairs: particle motion and Killing-Yano tensors
- Separability and Dynamical Symmetry of Quantum Dots
- On integrability of the Killing equation
- Eisenhart Lift of --Dimensional Mechanics
- Self-dual metrics with maximally superintegrable geodesic flows
- Some metrics admitting nonpolynomial first integrals of the geodesic equation
- N=2 supersymmetric extensions of relativistic Toda lattice
- Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions
- The Bohlin variant of the Eisenhart lift