Conformal mechanics
arXiv:1211.4403 · doi:10.1016/j.aop.2013.04.018
Abstract
The SL(2,R) invariant Hamiltonian systems are discussed within the frame- work of the orbit method. It is shown that both dynamics and symmetry trans- formations are globally well-defined on phase space. The flexibility in the choice of time variable and Hamiltonian function described in the paper by de Alfaro et al. (Nuovo Cim. 34A (1976),569) is related to the nontrivial global structure of 1 + 0-dimensional space-time. The operational definition of time is discussed.
22 pages, 4 figures, few references added
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Cited by in corpus (8)
- Conformal Newton-Hooke algebras, Niederer's transformation and Pais-Uhlenbeck oscillator
- -Extension of duble-graded supersymmetric and superconformal quantum mechanics
- On dynamical realizations of l-conformal Galilei groups
- Rational deformations of conformal mechanics
- Klein four-group and Darboux duality in conformal mechanics
- Nonlinear symmetries of perfectly invisible -regularized conformal and superconformal mechanics systems
- Conformal quantum mechanics as a Floquet-Dirac system
- Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type