Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator

K. Andrzejewski, A. Galajinsky, J. Gonera, Ivan Victorovich Masterov

Research output: Contribution to journalArticle

37 Citations (Scopus)

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 ωk = (2k - 1)ω1, where k = 1, ..., n, and l is the half-integer 2n-12. 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.

Original languageEnglish
Pages (from-to)150-162
Number of pages13
JournalNuclear Physics B
Volume885
DOIs
Publication statusPublished - 1 Jan 2014

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  • Nuclear and High Energy Physics

Cite this

Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator. / Andrzejewski, K.; Galajinsky, A.; Gonera, J.; Masterov, Ivan Victorovich.

In: Nuclear Physics B, Vol. 885, 01.01.2014, p. 150-162.

Research output: Contribution to journalArticle

Andrzejewski, K. ; Galajinsky, A. ; Gonera, J. ; Masterov, Ivan Victorovich. / Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator. In: Nuclear Physics B. 2014 ; Vol. 885. pp. 150-162.
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