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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish (US)
Pages (from-to)XXXXIX-XXL
JournalElectronic Journal of Differential Equations
Volume2000
StatePublished - Dec 1 2000

Fingerprint

Schrodinger Equation
Finite Difference Approximation
Maple
Approximation

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.

In: Electronic Journal of Differential Equations, Vol. 2000, 01.12.2000, p. XXXXIX-XXL.

Research output: Contribution to journalArticle

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