Point Interaction Controls for the Energy Transfer in 3-D Quantum Systems
Optimization and Control
2007-05-23 v3 Mathematical Physics
math.MP
Abstract
We consider the problem of energy-mass transfer from scattering to bound states for a one body quantum system under the action of a time dependent point interaction. Under suitable assumptions on the initial state of the particle, we prove a result of local controllability of this process
Cite
@article{arxiv.math/0510270,
title = {Point Interaction Controls for the Energy Transfer in 3-D Quantum Systems},
author = {Andrea Mantile},
journal= {arXiv preprint arXiv:math/0510270},
year = {2007}
}
Comments
Corrected version with major conceptual changes; 19 pages; LaTex; to be published in International Journal of Control