Energy and stability of Pais-Uhlenbeck oscillator
High Energy Physics - Theory
2015-06-25 v1
Abstract
We study stability of higher-derivative dynamics from the viewpoint of more general correspondence between symmetries and conservation laws established by the Lagrange anchor. We show that classical and quantum stability may be provided if a higher-derivative model admits a bounded from below integral of motion and the Lagrange anchor that relates this integral to the time translation.
Keywords
Cite
@article{arxiv.1506.07422,
title = {Energy and stability of Pais-Uhlenbeck oscillator},
author = {D. S. Kaparulin and S. L. Lyakhovich},
journal= {arXiv preprint arXiv:1506.07422},
year = {2015}
}
Comments
A contribution to the Proceedings of the XXXIII Workshop on the Geometric Methods in Physics, 8 pages