l-conformal Newton-Hooke symmetry of the damped Pais-Uhlenbeck oscillator

被引：2
作者：
Masterov, Ivan [1 ]
机构：
[1] Tomsk State Univ Control Syst & Radioelect, Lenin Ave 40, Tomsk 634050, Russia
来源：
NUCLEAR PHYSICS B | 2022年 / 980卷
关键词：
TRANSFORMATION; REALIZATIONS; SYSTEMS;
D O I：
10.1016/j.nuclphysb.2022.115847
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：
Two Lagrangian formulations for describing the damped harmonic oscillator have been introduced by Bateman. For these models we construct higher derivative generalizations which enjoy the l-conformal Newton-Hooke symmetry. It is shown that the dynamics of generalized systems corresponds to the damped Pais-Uhlenbeck oscillator for a particular choice of its frequencies. (C) 2022 The Author(s). Published by Elsevier B.V.
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页数：9
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