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Energy and stability of Pais-Uhlenbeck oscillator

2015/06/24 by D. S. Kaparulin, Kaparulin, D. S., Alex Lyakhovich +1
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.1506.07422

openalex publication_date 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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