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 |
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Article number | 1550107 |
Journal | Modern Physics Letters A |
Volume | 30 |
Issue number | 21 |
DOIs | |
Publication status | Published - 10 Jul 2015 |
Keywords
- Newton-Hooke algebra
- Pais-Uhlenbeck oscillator
- supersymmetry
ASJC Scopus subject areas
- Astronomy and Astrophysics
- Nuclear and High Energy Physics