Electron. J. Diff. Eqns., Vol. 2000(2000), No. 26, pp. 110.
Finite difference approximation of control via the potential
in a 1D Schrodinger equation
K. Kime
Abstract:
We consider the problem of steering given initial data to given
terminal data via a timedependent potential, the control, in a 1D
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.
Submitted March 2, 2000. Published April 12, 2000.
Math Subject Classifications: 81Q05, 93C20.
Key Words: CrankNicolson, potential barrier, control, Maple.
Show me the
PDF file (108K),
TEX file, and other files for this article.

Katherine Kime
Dept. of Mathematics and Statistics
Univ. of Nebraska at Kearney
Kearney, NE 68849 USA
email: kimek@unk.edu 
Return to the EJDE web page