N = 2 supersymmetric Pais-Uhlenbeck oscillator

Ivan Masterov

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    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 languageEnglish
    Article number1550107
    JournalModern Physics Letters A
    Volume30
    Issue number21
    DOIs
    Publication statusPublished - 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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