  We consider a non relativistic charged particle in a 1-dimensional infinite
square potential well. This quantum system is subjected to a control, which is
a uniform (in space) time depending electric field. It is represented by a
complex probability amplitude solution of a Schrodinger equation on a
1-dimensional bounded domain, with Dirichlet boundary conditions. We prove the
almost global approximate stabilization of the eigenstates by explicit feedback
laws.
