𝒩 = 2 supersymmetric Pais–Uhlenbeck oscillator

Author:

Masterov Ivan1

Affiliation:

1. 1Laboratory of Mathematical Physics, Tomsk Polytechnic University, 634050 Tomsk, Lenin Ave. 30, Russia

Abstract

We construct an [Formula: see text] supersymmetric extension of the Pais–Uhlenbeck 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The noisy Pais–Uhlenbeck oscillator;Journal of Mathematical Chemistry;2018-10-22

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3. The odd-order Pais–Uhlenbeck oscillator;Nuclear Physics B;2016-06

4. Nonlocal dynamics and infinite nonrelativistic conformal symmetries;Physical Review D;2016-03-04

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