### 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 |
---|---|

Article number | 1550107 |

Journal | Modern Physics Letters A |

Volume | 30 |

Issue number | 21 |

DOIs | |

Publication status | Published - 10 Jul 2015 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Nuclear and High Energy Physics

### Cite this

*Modern Physics Letters A*,

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

**N = 2 supersymmetric Pais-Uhlenbeck oscillator.** / Masterov, Ivan.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 30, no. 21, 1550107. https://doi.org/10.1142/S0217732315501072

}

TY - JOUR

T1 - N = 2 supersymmetric Pais-Uhlenbeck oscillator

AU - Masterov, Ivan

PY - 2015/7/10

Y1 - 2015/7/10

N2 - 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.

AB - 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.

KW - Newton-Hooke algebra

KW - Pais-Uhlenbeck oscillator

KW - supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=84931956845&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84931956845&partnerID=8YFLogxK

U2 - 10.1142/S0217732315501072

DO - 10.1142/S0217732315501072

M3 - Article

VL - 30

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 21

M1 - 1550107

ER -