### Abstract

Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. An application of this approach to the Pais-Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below. This leads to the ghost problem in quantum theory. In order to avoid this nasty feature, the technique previously developed in [7] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais-Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N = 2 supersymmetric Pais-Uhlenbeck oscillator.

Original language | English |
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Pages (from-to) | 95-114 |

Number of pages | 20 |

Journal | Nuclear Physics B |

Volume | 902 |

DOIs | |

Publication status | Published - 1 Jan 2016 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*902*, 95-114. https://doi.org/10.1016/j.nuclphysb.2015.11.011

**An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator.** / Masterov, Ivan.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 902, pp. 95-114. https://doi.org/10.1016/j.nuclphysb.2015.11.011

}

TY - JOUR

T1 - An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator

AU - Masterov, Ivan

PY - 2016/1/1

Y1 - 2016/1/1

N2 - Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. An application of this approach to the Pais-Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below. This leads to the ghost problem in quantum theory. In order to avoid this nasty feature, the technique previously developed in [7] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais-Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N = 2 supersymmetric Pais-Uhlenbeck oscillator.

AB - Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. An application of this approach to the Pais-Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below. This leads to the ghost problem in quantum theory. In order to avoid this nasty feature, the technique previously developed in [7] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais-Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N = 2 supersymmetric Pais-Uhlenbeck oscillator.

UR - http://www.scopus.com/inward/record.url?scp=84947811877&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84947811877&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2015.11.011

DO - 10.1016/j.nuclphysb.2015.11.011

M3 - Article

AN - SCOPUS:84947811877

VL - 902

SP - 95

EP - 114

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -