Displaying similar documents to “The dynamical Lame system: regularity of solutions, boundary controllability and boundary data continuation”

Controllablity of a quantum particle in a 1D variable domain

Karine Beauchard (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider a quantum particle in a 1D infinite square potential well with variable length. It is a nonlinear control system in which the state is the wave function  of the particle and the control is the length of the potential well. We prove the following controllability result : given φ 0 close enough to an eigenstate corresponding to the length and φ f close enough to another eigenstate corresponding to the length , there exists a continuous function l : [ 0 , T ] → ℝ + * with , such that and , and...