2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100004We show that the number of symmetry operators of order not higher that q of the nonstationary n-dimensional (n=1,2,3,4) Schroedinger equation (SE) with nonvanishing potentials is finite and does not exceed that of SE with zero potentials for arbitrary q=0,1,2,... . This result is applied for the determination of the general form of time dependance of the symmetry operators of SE with time-independant potentials.7 pages, Latex, no figuresAnalysis of PDEsMathematical PhysicsExactly Solvable and Integrable Systemstext