Finite Difference Approximation of Control Via the Potential in a 1-D Schrodinger Equation
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We 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.
CitationKime, K. (2000). Finite difference approximation of control via the potential in a 1-D Schrodinger equation. Electronic Journal of Differential Equations, 2000(26), pp. 1-10.
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