### 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 |

State | Published - Dec 1 2000 |

### Fingerprint

### Keywords

- Control
- Crank-nicolson
- Maple
- Potential barrier

### ASJC Scopus subject areas

- Analysis

### Cite this

**Finite difference approximation of control via the potential in a 1-D Schrodinger equation.** / Kime, Katherine.

Research output: Contribution to journal › Article

*Electronic Journal of Differential Equations*, vol. 2000, pp. XXXXIX-XXL.

}

TY - JOUR

T1 - Finite difference approximation of control via the potential in a 1-D Schrodinger equation

AU - Kime, Katherine

PY - 2000/12/1

Y1 - 2000/12/1

N2 - 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.

AB - 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.

KW - Control

KW - Crank-nicolson

KW - Maple

KW - Potential barrier

UR - http://www.scopus.com/inward/record.url?scp=52849119537&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52849119537&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:52849119537

VL - 2000

SP - XXXXIX-XXL

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

ER -