Lyapunov control of Schrödinger equation:beyond the dipole approximations

Andreea Grigoriu (1) , Catalin Lefter (2) , Gabriel Turinici (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 Faculty of Mathematics,University "Al.I.Cuza"

We analyse in this paper the Lyapunov trajectory tracking of the Schrödinger equation for a second order coupling operator. We present a theoretical convergence result; for situations not covered by the theoretical result we propose a numerical approach that is tested and works well in practice.

Domaines: Analyse numérique [math.NA]

Andreea Grigoriu, Catalin Lefter, Gabriel Turinici. Lyapunov control of Schrödinger equation:beyond the dipole approximations. 2008. ⟨hal-00364966v1⟩