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.
Mathematics Subject Classification (2010). Primary 70H14; Secondary 70H50.
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© 2015 Springer International Publishing Switzerland
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Kaparulin, D.S., Lyakhovich, S.L. (2015). Energy and Stability of the Pais–Uhlenbeck Oscillator. In: Kielanowski, P., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18212-4_8
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DOI: https://doi.org/10.1007/978-3-319-18212-4_8
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18211-7
Online ISBN: 978-3-319-18212-4
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