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
Publié le : 2005-10-13
Classification:
Mathematics - Optimization and Control,
Mathematical Physics,
93C10,
35Q40
@article{0510270,
author = {Mantile, Andrea},
title = {Point Interaction Controls for the Energy Transfer in 3-D Quantum
Systems},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0510270}
}
Mantile, Andrea. Point Interaction Controls for the Energy Transfer in 3-D Quantum
Systems. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510270/