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math.OC2013★ 2 cited
Local exact controllability of a 1D Bose-Einstein condensate in a time-varying box
Karine Beauchard, Horst Lange, Holger Teismann
We consider a one-dimensional Bose-Einstein condensate in a infinite square-well (box) potential. This is a nonlinear control system in which the state is the wave function of the…
math.OC2012★ 5 cited
Local controllability of 1D Schrödinger equations with bilinear control and minimal time
Karine Beauchard, Morgan Morancey
We consider a linear Schrödinger equation, on a bounded interval, with bilinear control. Beauchard and Laurent proved that, under an appropriate non degeneracy assumption, this sys…