### Abstract

We consider control of the one-dimensional Schroedinger equation through a time-varying potential. Using a finite difference semi-discretization, we consider increasing the extent of the potential from a single central grid-point in space to two or more gridpoints. With the differential geometry package in Maple 8, we compute and compare the corresponding Control Lie Algebras, identifying a trend in the number of elements which span the Control Lie Algebras.

Original language | English (US) |
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Title of host publication | ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 |

Pages | 529-534 |

Number of pages | 6 |

Edition | PARTS A, B AND C |

DOIs | |

State | Published - 2009 |

Event | ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 - San Diego, CA, United States Duration: Aug 30 2009 → Sep 2 2009 |

### Publication series

Name | Proceedings of the ASME Design Engineering Technical Conference |
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Number | PARTS A, B AND C |

Volume | 4 |

### Conference

Conference | ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 |
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Country | United States |

City | San Diego, CA |

Period | 8/30/09 → 9/2/09 |

### ASJC Scopus subject areas

- Modeling and Simulation
- Mechanical Engineering
- Computer Science Applications
- Computer Graphics and Computer-Aided Design

## Fingerprint Dive into the research topics of 'Effect of the spatial extent of the control in a bilinear control problem for the schroedinger equation'. Together they form a unique fingerprint.

## Cite this

Kime, K. A. (2009). Effect of the spatial extent of the control in a bilinear control problem for the schroedinger equation. In

*ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009*(PARTS A, B AND C ed., pp. 529-534). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 4, No. PARTS A, B AND C). https://doi.org/10.1115/DETC2009-86440