TY - JOUR
T1 - Controllability of the discrete-spectrum Schrodinger equation driven by an external field
JF - Ann. Inst. H. Poincare Anal. Non Lineaire 26 (2009) 329-349
Y1 - 2009
A1 - Thomas Chambrion
A1 - Paolo Mason
A1 - Mario Sigalotti
A1 - Ugo Boscain
AB - We prove approximate controllability of the bilinear Schrodinger equation in the case in which the uncontrolled Hamiltonian has discrete nonresonant\\nspectrum. The results that are obtained apply both to bounded or unbounded domains and to the case in which the control potential is bounded or unbounded. The method relies on finite-dimensional techniques applied to the\\nGalerkin approximations and permits, in addition, to get some controllability properties for the density matrix. Two examples are presented: the harmonic oscillator and the 3D well of potential controlled by suitable potentials.
UR - http://hdl.handle.net/1963/2547
U1 - 1572
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -