### Abstract

K. Kirn 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.

Original language | English (US) |
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Pages (from-to) | XXXXIX-XXL |

Journal | Electronic Journal of Differential Equations |

Volume | 2000 |

Publication status | Published - Dec 1 2000 |

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### Keywords

- Control
- Crank-nicolson
- Maple
- Potential barrier

### ASJC Scopus subject areas

- Analysis