R. Adami and U. Boscain, Controllability of the Schroedinger equation via intersection of eigenvalues, Proceedings of the 44th IEEE Conference on Decision and Control, pp.1080-1085, 2005.

J. M. Ball, J. E. Marsden, and M. Slemrod, Controllability for Distributed Bilinear Systems, SIAM Journal on Control and Optimization, vol.20, issue.4, pp.575-597, 1982.
DOI : 10.1137/0320042

K. Beauchard and J. Coron, Controllability of a quantum particle in a moving potential well, Journal of Functional Analysis, vol.232, issue.2, pp.328-389, 2006.
DOI : 10.1016/j.jfa.2005.03.021

URL : https://hal.archives-ouvertes.fr/hal-00825517

K. Beauchard and C. Laurent, Local controllability of 1D linear and nonlinear Schr??dinger equations with bilinear control, Journal de Math??matiques Pures et Appliqu??es, vol.94, issue.5, pp.520-554, 2010.
DOI : 10.1016/j.matpur.2010.04.001

A. M. Bloch, R. W. Brockett, and C. Rangan, The controllability of infinite quantum systems and closed subspace criteria, IEEE Trans. Automat. Control, 2010.

M. Born and V. Fock, Beweis des adiabatensatzes. Zeitschrift für Physik A Hadrons and Nuclei, pp.3-4165, 1928.
DOI : 10.1007/bf01343193

U. Boscain, M. Caponigro, T. Chambrion, and M. Sigalotti, A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule, 2010.

U. Boscain, F. Chittaro, P. Mason, and M. Sigalotti, Adiabatic Control of the Schr??dinger Equation via Conical Intersections of the Eigenvalues, IEEE Transactions on Automatic Control, vol.57, issue.8, pp.1970-1983, 2012.
DOI : 10.1109/TAC.2012.2195862

T. Chambrion, P. Mason, M. Sigalotti, and U. Boscain, Controllability of the discrete-spectrum Schr??dinger equation driven by an external field, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.26, issue.1, pp.329-349, 2009.
DOI : 10.1016/j.anihpc.2008.05.001

T. Kato, On the Adiabatic Theorem of Quantum Mechanics, Journal of the Physical Society of Japan, vol.5, issue.6, pp.435-439, 1950.
DOI : 10.1143/JPSJ.5.435

T. Kato, Perturbation theory for linear operators Die Grundlehren der mathematischen Wissenschaften, 1966.

C. Lasser and S. Teufel, Propagation through conical crossings: An asymptotic semigroup, Communications on Pure and Applied Mathematics, vol.137, issue.9, pp.1188-1230, 2005.
DOI : 10.1002/cpa.20087

M. Mirrahimi, Lyapunov control of a quantum particle in a decaying potential, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.26, issue.5, pp.1743-1765, 2009.
DOI : 10.1016/j.anihpc.2008.09.006

URL : https://hal.archives-ouvertes.fr/hal-00793568

G. Nenciu, On the adiabatic theorem of quantum mechanics, Journal of Physics A: Mathematical and General, vol.13, issue.2, pp.15-18, 1980.
DOI : 10.1088/0305-4470/13/2/002

V. Nersesyan, Global approximate controllability for Schr??dinger equation in higher Sobolev norms and applications, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.27, issue.3, pp.901-915, 2010.
DOI : 10.1016/j.anihpc.2010.01.004

G. Panati, H. Spohn, and S. Teufel, Space-adiabatic perturbation theory, Advances in Theoretical and Mathematical Physics, vol.7, issue.1, pp.145-204, 2003.
DOI : 10.4310/ATMP.2003.v7.n1.a6

M. Reed and B. Simon, Methods of modern mathematical physics. IV. Analysis of operators, 1978.

I. Segal, Non-Linear Semi-Groups, The Annals of Mathematics, vol.78, issue.2, pp.339-364, 1963.
DOI : 10.2307/1970347

S. Teufel, Adiabatic perturbation theory in quantum dynamics, Lecture Notes in Mathematics, vol.1821, 2003.
DOI : 10.1007/b13355

G. Turinici, On the controllability of bilinear quantum systems, Mathematical models and methods for ab initio Quantum Chemistry, 2000.
DOI : 10.1007/978-3-642-57237-1_4

URL : https://hal.archives-ouvertes.fr/hal-00536518