Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator

DOI10.1016/J.NUCLPHYSB.2014.05.025zbMATH Open1323.70077arXiv1402.1297OpenAlexW2142263206MaRDI QIDQ748658

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Publication date: 29 October 2015

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Abstract: It is demonstrated that the Pais-Uhlenbeck oscillator in arbitrary dimension enjoys the l-conformal Newton-Hooke symmetry provided frequencies of oscillation form the arithmetic sequence omega_k=(2k-1) omega_1, where k=1,...,n, and l is the half-integer (2n-1)/2. The model is shown to be maximally superintegrable. A link to n decoupled isotropic oscillators is discussed and an interplay between the l-conformal Newton-Hooke symmetry and symmetries characterizing each individual isotropic oscillator is analyzed.

Full work available at URL: https://arxiv.org/abs/1402.1297

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