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.
CITATION STYLE
Kaparulin, D. S., & Lyakhovich, S. L. (2015). Energy and stability of the Pais-Uhlenbeck oscillator. In Trends in Mathematics (Vol. 71, pp. 127–134). Springer International Publishing. https://doi.org/10.1007/978-3-319-18212-4_8
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