l-conformal Newton-Hooke symmetry of the damped Pais-Uhlenbeck oscillator
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...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-07-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322001985 |
| Summary: | 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. |
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| ISSN: | 0550-3213 |