N = 2 supersymmetric Pais-Uhlenbeck oscillator

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    6 Citations (Scopus)


    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 languageEnglish
    Article number1550107
    JournalModern Physics Letters A
    Issue number21
    Publication statusPublished - 10 Jul 2015


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

    ASJC Scopus subject areas

    • Astronomy and Astrophysics
    • Nuclear and High Energy Physics

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