Effect of the spatial extent of the control in a bilinear control problem for the schroedinger equation

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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 languageEnglish (US)
Title of host publicationASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009
Pages529-534
Number of pages6
EditionPARTS A, B AND C
DOIs
Publication statusPublished - Dec 1 2009
EventASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 - San Diego, CA, United States
Duration: Aug 30 2009Sep 2 2009

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
NumberPARTS A, B AND C
Volume4

Conference

ConferenceASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009
CountryUnited States
CitySan Diego, CA
Period8/30/099/2/09

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ASJC Scopus subject areas

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

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