Conformal symmetry in damped Pais-Uhlenbeck oscillator
arXiv:2203.01651 · doi:10.1016/j.nuclphysb.2022.115847
Abstract
Two Lagrangian formulations for describing of the damped harmonic oscillator have been introduced by Bateman. For these models we construct higher derivative generalization which enjoys the l-conformal Newton-Hooke symmetry. The dynamics of generalized systems corresponds to the damped Pais-Uhlenbeck oscillator for a particular choice of its frequencies.
10 pages
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