N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator
Ivan Masterov
TL;DR
This paper explores an N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator with distinct frequencies, constructing various Hamiltonian structures using established techniques, contributing to the understanding of supersymmetric higher-order oscillators.
Contribution
It introduces a family of Hamiltonian structures for the N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator with distinct frequencies.
Findings
Constructed multiple Hamiltonian formulations for the system
Extended previous techniques to higher-order supersymmetric oscillators
Provided a framework for analyzing supersymmetric oscillatory systems
Abstract
We consider an N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator with distinct frequencies of oscillation. The technique previously developed in [Acta Phys. Polon. B 36 (2005) 2115; Nucl. Phys. B 902 (2016) 95] is used to construct a family of Hamiltonian structures for this system.
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