Remarks on Multi-Dimensional Conformal Mechanics
arXiv:0901.1644 · doi:10.3842/SIGMA.2009.004
Abstract
Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, we relate this transformation with the Weil model of Lobachewsky space.
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Cited by in corpus (8)
- Conformal mechanics in Newton-Hooke spacetime
- Symmetries in superintegrable deformations of oscillator/Coulomb systems: "holomorphic factorization"
- Integrability and supersymmetry of Schroedinger-Pauli equations for neutral particles
- On integrability of geodesics in near-horizon extremal geometries: Case of Myers-Perry black holes in arbitrary dimensions
- Superintegrable systems with spin invariant with respect to the rotation group
- Lobachevsky geometry in TTW and PW systems
- Superintegrable deformations of oscillator and Coulomb systems
- Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type