Control of matter waves in adjacent potential wells

Research output: Contribution to journalArticle

1 Scopus citations


We consider exact controllability of a system of two Schrödinger equations. These represent matter waves in adjacent potential wells with different potentials, one zero, the other a positive constant V0. The problem is formulated as a simultaneous boundary controllability problem, with Dirichlet control. Estimates for the controls, including an observability inequality, are proved using multiplier techniques. Then the Hubert uniqueness method is used to obtain the exact controllability result. If K0 is sufficiently small, there exists a time T̂(V0) such that the system is exactly controllable in times T > T̂(V0).

Original languageEnglish (US)
Pages (from-to)369-381
Number of pages13
JournalMathematical Methods in the Applied Sciences
Issue number4
Publication statusPublished - Mar 10 1997


ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this