Controllability in projection of the simple spectrum bilinear Schrödinger equation

نویسندگان

  • Marco Caponigro
  • Mario Sigalotti
چکیده

We consider the bilinear Schrödinger equation with several controls and simplespectrum drift. Under some regularity assumptions on the control operators and generic conditions on the controllability of the Galerkin approximations we show exact controllability in projection on the first n given eigenstates, n ∈ N arbitrary. Our methods rely on Lie-algebraic control techniques applied to the Galerkin approximations coupled with classical topological arguments issuing from degree theory.

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تاریخ انتشار 2017