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Theoretical Physics
Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator
byMahmut Elbistan
Abstract:The “Bargmann framework” allows us to prove the equivalence of the Pais-Uhlenbeck oscillator with a spin-zero particle in a circularly polarized periodic gravitational wave. Pushing forward the symmetries (which include Carroll symmetry) of the latter, we derive conserved charges for the Pais-Uhlenbeck oscillator.
Keywords:
Eisenhart-Duval, lift, Carroll group, Pais-Uhlenbeck oscillator, ion traps.