Conformal symmetry in damped Pais-Uhlenbeck oscillator
High Energy Physics - Theory
2022-06-15 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2203.01651,
title = {Conformal symmetry in damped Pais-Uhlenbeck oscillator},
author = {Ivan Masterov},
journal= {arXiv preprint arXiv:2203.01651},
year = {2022}
}
Comments
10 pages