2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56658The Dirac method treatment for finite dimensional singular systems with weakly vanishing Hamiltonian leads to obtain the equations of motion in terms of parameter $τ$. To obtain the correct equations of motion one should use gauge fixing of the form $τ- f(t)=0$. It is shown that the canonical method leads to describe the evolution in both standard and constrained finite dimensional systems with weakly vanishing Hamiltonian in terms of the physical time $t$, without using any gauge fixing conditions. Besides the operator quantization of the these systems is investigated using the canonical method and it is shown that the evolution of the state $Ψ$ with the time $t$ is described by the Schr/"odinger equation $i\frac{\partial Ψ}{\Partial t} = {\hat H}Ψ$. The extension of this treatment to infinite dimensional systems is given.15 pages, latex, no fiquresMathematical Physicstext