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

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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
Publication statusPublished - Dec 1 2000



  • Control
  • Crank-nicolson
  • Maple
  • Potential barrier

ASJC Scopus subject areas

  • Analysis

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