A REMARK ON THE ATTAINABLE SET OF THE SCHRODINGER EQUATION
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | A REMARK ON THE ATTAINABLE SET OF THE SCHRODINGER EQUATION |
| Type de publication | Journal Article |
| Year of Publication | 2021 |
| Auteurs | Lampart J |
| Journal | EVOLUTION EQUATIONS AND CONTROL THEORY |
| Volume | 10 |
| Pagination | 461-469 |
| Date Published | SEP |
| Type of Article | Article |
| ISSN | 2163-2480 |
| Mots-clés | Bilinear control, Dispersive equations, exact controllability, Schrodinger equation |
| Résumé | We discuss the set of wavefunctions psi(V) (t) that can be obtained from a given initial condition psi(0) by applying the flow of the Schrodinger operator -Delta + V (t, x) and varying the potential V (t, x). We show that this set has empty interior, both as a subset of the sphere in L-2 (R-d) and as a set of trajectories. |
| DOI | 10.3934/eect.2020075 |