2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92390The realization and representation of so(4,2) associated with the hydrogen atom Hamiltonian are derived. By choosing operators from the realization of so(4,2) as interacting Hamiltonians, a hydrogen atom control system is constructed, and it is proved that this control system is strongly analytically controllable based on a time-dependent strong analytic controllability theorem.6 pages; corrected typo; added equations in section III for representation states of so(4,2). accepted by CDC 2004Quantum Physicstext