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In this paper, we investigate the controllability of 1D bilinear Schrödinger equation with Sturm-Liouville boundary value condition. The system represents a quantumn particle controlled by an electric field. K. Beauchard and C. Laurent have proved local controllability of 1D bilinear Schrödinger equation with Dirichlet boundary value condition in some suitable Sobolev space based on the classical inverse mapping theorem. Using a similar method, we extend this result to Sturm-Liouville boundary value proplems.

LOCAL EXACT CONTROLLABILITY OF SCHR&#214;DINGER EQUATION WITH STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS

LOCAL EXACT CONTROLLABILITY OF SCHRÖDINGER EQUATION WITH STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS