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

Research output: Contribution to journalArticle

1 Scopus citations

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

Keywords

  • Control
  • Crank-nicolson
  • Maple
  • Potential barrier

ASJC Scopus subject areas

  • Analysis

Fingerprint Dive into the research topics of 'Finite difference approximation of control via the potential in a 1-D Schrodinger equation'. Together they form a unique fingerprint.

  • Cite this