<p>This paper addresses prescribed-time output feedback stabilization for the Schrödinger equation with matched disturbance, proposing a model-driven nonlinear control framework. First, a disturbance estimation strategy is developed within the prescribed time interval by constructing two auxiliary systems and based on active disturbance rejection control. Subsequently, the original system is transformed into the target system using backstepping transformation, and then a nonlinear state feedback controller is designed. Building on these foundations, a prescribed-time observer is established using two measurement signals, and the corresponding nonlinear output feedback controller is synthesized. Finally, numerical simulations verify the effectiveness of the proposed scheme.</p>