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Abstract: The classical Schrödinger equation, \(\frac{1}{i} u_t - \Delta u = 0, u(0, \cdot) = f(\cdot)\), governs the wave function of a quantum mechanical system. The wave function, \(u\), has the interpretation that \(|u|^2\) represents the probability density of finding a particle at a certain location at a given time. The solution \(u\) is known to satisfy the decay estimate: \(\|u\|_{L^\infty_x} \leq C t^{-n/2} \|f\|_{L^1}\) where \(n\) is the number of spatial dimensions, and, thus, the solution decays in time. More generally, the Schrödinger equation with a potential \(V\) is \(\frac{1}{i} u_t - \Delta u + Vu = 0, u(0, \cdot) = f(\cdot)\), and governs the wave function of a quantum mechanical system with a potential. We will show, under certain assumptions on \(V\), that, in three spatial dimensions, the wave function \(u\) still satisfies a similar decay estimate: \(\|u\|_{L^\infty_x} \leq Ct^{-3/2} \|f\|_{L^1}\).