2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93352In this paper we investigate the problem of minimization the Heisenberg's uncertainty relation by the trajectory-coherent states. The conditions of minimization for Hamiltonian and trajectory are obtained. We show that the trajectory-coherent states minimize the Heisenberg's uncertainty relation for special Cauchy problem for the Schrödinger equation only.6 pages LaTex,no figuresQuantum Physicstext