2015/03/31 by Ivan Masterov
Mathematics 路 Physics and Astronomy 路 #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #hep-th #math-ph #math.MP
paper 路 pdf 路 doi:10.1142/s0217732315501072
published as Mod. Phys. Lett. A, Vol. 30 (2015) 1550107 路 Published version
arxiv created 2015/05/29 路 arxiv updated 2015/06/01 路 openalex publication_date 2015/06/11 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/07/28
We construct an [Formula: see text] supersymmetric extension of the Pais鈥揢hlenbeck oscillator for distinct frequencies of oscillation. A link to a set of decoupled [Formula: see text] 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.