2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/91873The oscillator algebra of Pegg-Barnett (P-B) oscillator with a finite-dimensional number-state space is investigated in this note. It is shown that the Pegg-Barnett oscillator possesses the su($n$) Lie algebraic structure. Additionally, we suggest a so-called supersymmetric P-B oscillator and discuss the related topics such as the algebraic structure and particle occupation number of supersymmetric P-B oscillator.4 pages, LatexQuantum Physicstext