Energy and stability of Pais-Uhlenbeck oscillator

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.

A contribution to the Proceedings of the XXXIII Workshop on the Geometric Methods in Physics, 8 pages

Cited by in corpus (2)

• Multi-Hamiltonian formulations and stability of higher-derivative extensions of $3d$ Chern-Simons
• A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator