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arXiv · 1402.1297

Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator

Krzysztof Andrzejewski·Anton Galajinsky·Joanna Gonera·Ivan Masterov
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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.

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Krzysztof Andrzejewski, Anton Galajinsky, Joanna Gonera, Ivan Masterov. 2014-06-03. Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator. https://doi.org/10.1016/j.nuclphysb.2014.05.025

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