The odd-order Pais-Uhlenbeck oscillator

Ivan Masterov

    Результат исследований: Материалы для журнала › Статья

    10 Цитирования (Scopus)

    Выдержка

    We consider a Hamiltonian formulation of the (2. n+. 1)-order generalization of the Pais-Uhlenbeck oscillator with distinct frequencies of oscillation. This system is invariant under time translations. However, the corresponding Noether integral of motion is unbounded from below and can be presented as a direct sum of 2n one-dimensional harmonic oscillators with an alternating sign. If this integral of motion plays a role of a Hamiltonian, a quantum theory of the Pais-Uhlenbeck oscillator faces a ghost problem. We construct an alternative canonical formulation for the system under study to avoid this nasty feature.

    Язык оригиналаАнглийский
    Страницы (с-по)495-508
    Число страниц14
    ЖурналNuclear Physics B
    Том907
    DOI
    СостояниеОпубликовано - 1 июн 2016

    Отпечаток

    oscillators
    formulations
    ghosts
    quantum theory
    harmonic oscillators
    oscillations

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Цитировать

    The odd-order Pais-Uhlenbeck oscillator. / Masterov, Ivan.

    В: Nuclear Physics B, Том 907, 01.06.2016, стр. 495-508.

    Результат исследований: Материалы для журнала › Статья

    Masterov, I 2016, 'The odd-order Pais-Uhlenbeck oscillator', Nuclear Physics B, том. 907, стр. 495-508. https://doi.org/10.1016/j.nuclphysb.2016.04.025
    Masterov I. The odd-order Pais-Uhlenbeck oscillator. Nuclear Physics B. 2016 Июнь 1;907:495-508. https://doi.org/10.1016/j.nuclphysb.2016.04.025
    Masterov, Ivan. / The odd-order Pais-Uhlenbeck oscillator. В: Nuclear Physics B. 2016 ; Том 907. стр. 495-508.
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