摘要：AbstractWe consider the bilinear Schrödinger equation with several controls and simple-spectrum 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
关键词：KeywordsControl of quantumSchrödinger systemssemigroupoperator theory control of partial differential equations
