2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92785The time operator for a quantum singular oscillator of the Calogero-Sutherland type is constructed in terms of the generators of the SU(1,1) group. In the space spanned by the eigenstates of the Hamiltonian, the time operator is not self-adjoint. We show, that the time-energy uncertainty relation can be given the meaning within the Barut-Girardello coherent states defined for the singular oscillator.We have also shown the relationship with the time-of-arrival operator of Aharonov and Bohm.7 pages, no figures, LaTex, submitted to Concepts of PhysicsQuantum PhysicsExistence of Time Operator for a Singular Harmonic Oscillatortext