2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88802We address the problem of phase shift operator acting as time evolution operator in Pegg-Barnett formalism. It is argued that standard shift operator is inconsistent with the behaviour of the state vector under cyclic evolution. We consider a generally deformed oscillator algebra at q-root of unity, as it yields the same Pegg-Barnett operator and show that shift operator meets our requirement.Revtex, 3 pagesQuantum Physicstext