Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator
General Relativity and Quantum Cosmology
2022-05-27 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The "Bargmann framework" allows us to prove the equivalence of the Pais-Uhlenbeck oscillator with a spin-zero particle in a circularly polarized periodic gravitational wave. Pushing forward the symmetries (which include Carroll symmetry) of the latter, we derive conserved charges for the Pais-Uhlenbeck oscillator.
Keywords
Cite
@article{arxiv.2203.02338,
title = {Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator},
author = {Mahmut Elbistan},
journal= {arXiv preprint arXiv:2203.02338},
year = {2022}
}
Comments
14 pages, version to appear in Nuclear Physics B