Kime, Katherine2019-12-202019-12-202000-04-12Kime, K. (2000). Finite difference approximation of control via the potential in a 1-D Schrodinger equation. <i>Electronic Journal of Differential Equations, 2000</i>(26), pp. 1-10.1072-6691https://hdl.handle.net/10877/9120We consider the problem of steering given initial data to given terminal data via a time-dependent potential, the control, in a 1-D Schrodinger equation. We determine a condition for existence of a transferring potential within our approximation. Using Maple, we give equations for the control and also examples in which the potential is restricted to be centralized and to be a step potential.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalCrank-NicolsonPotential barrierControlMapleArticle