Conformal symmetry in damped Pais-Uhlenbeck oscillator

Published 3 Mar 2022 in hep-th, math-ph, and math.MP | (2203.01651v1)

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.

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Ivan Masterov

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