### Abstract

We construct an N = 2 supersymmetric extension of the Pais-Uhlenbeck oscillator for distinct frequencies of oscillation. A link to a set of decoupled N = 2 supersymmetric harmonic oscillators with alternating sign in the Hamiltonian is introduced. Symmetries of the model are discussed in detail. The investigation of a quantum counterpart of the constructed model shows that the corresponding Fock space contains negative norm states and the energy spectrum of the system is unbounded from below.

Original language | English |
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Article number | 1550107 |

Journal | Modern Physics Letters A |

Volume | 30 |

Issue number | 21 |

DOIs | |

Publication status | Published - 10 Jul 2015 |

### Keywords

- Newton-Hooke algebra
- Pais-Uhlenbeck oscillator
- supersymmetry

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Nuclear and High Energy Physics

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## Cite this

Masterov, I. (2015). N = 2 supersymmetric Pais-Uhlenbeck oscillator.

*Modern Physics Letters A*,*30*(21), [1550107]. https://doi.org/10.1142/S0217732315501072