Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator

被引：51

作者：

Andrzejewski, K. ^{[1
]}

Galajinsky, A. ^{[2
,3
]}

Gonera, J. ^{[1
]}

Masterov, I. ^{[2
]}

机构：

[1] Univ Lodz, Fac Phys & Appl Informat, Dept Comp Sci, PL-90236 Lodz, Poland

[2] Tomsk Polytech Univ, Phys Math Lab, Tomsk 634050, Russia

[3] Tomsk State Univ, Dept Phys, Tomsk 634050, Russia

来源：

NUCLEAR PHYSICS B | 2014年 / 885卷

关键词：

REALIZATIONS;

D O I：

10.1016/j.nuclphysb.2014.05.025

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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. (C) 2014 The Authors. Published by Elsevier B.V.

引用

页码：150 / 162

页数：13

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